9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)
25
O
IT square units
O 10 square units
O 255 square units
O 57 square units

Answers

Answer 1

Answer:

Area of the circle is 6.25π sq.unit

Step-by-step explanation:

The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴

Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]

Answer 2

The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.

What is Distance Formula?

If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are

PQ = √(c- a)² + (d-b)²

We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).

Now, using Distance Formula

d= √{(x2 - x1)² + (y2 - y1)²}

Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5

d = √{(5 - 2)² + (5 - 1)²}

d = √{(3)² + (4)²}

d = √{9 + 16}

d = √25

d = 5 unit

Now, Area of Circle

= πr²

= 3.14 x 2.5 x 2.5

= 6.25π sq units

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Related Questions

What is the greatest common factor of 8, 44, and 12? explanation pls on how you got the answer

Answers

The greatest common factor( GCF) is = 4.

The greatest common factor(GCF) is the highest number that can divide 8, 44 and 12 without a reminder.

To find the GCF, first list the common factors of each figure given.

Common factors of 8 = 1, 2, 4, 8Common factors of 44 = 1, 2, 4, 11, 22, 44Common factors of 12 = 1, 2, 3, 4, 6, 12

There are 3 common factors of 8, 44 and 12, that are 1, 2, and 4. Therefore, the greatest common factor of 8, 44 and 12 is 4.

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I am completely lost someone help!:)

Answers

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Given

The above triangles

Required

Find x

The two triangles are similar. So we make use of the following equivalent ratios, to solve for x

[tex]XZ : ZY = JL : LK[/tex]

Replace each side with their measurements

[tex]13 : 10 = x : 20[/tex]

Express as fraction

[tex]\frac{13}{10} = \frac{x}{20}[/tex]

Solve for x

[tex]x = \frac{13}{10} * 20[/tex]

[tex]x = 1.3 * 20[/tex]

[tex]x = 26[/tex]

Image attached. Thank you

Answers

Answer:

y=-x+1

Step-by-step explanation:

Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.

The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1

The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):

m=(2-1)/(-1-0)=-1/1

m= -1

Knowing these values, we can write y=mx+c for our equation: y=-x+1

What is the probability of being born on a day that does not begin with the letter T?

Answers

Well there is 7 days

Monday,Tuesday,Wednesday,Thursday,Friday,Saturday,Sunday

Only two start with a t so your answer would be


5/7

Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.

2( − 4) = 10 − 8 − 8

A
unique solution

B
no solution

C
infinite solutions

Answers

The answer is in the question

Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale

Answers

Answer:

150 ft²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

Where,

a = 24 ft

b = 24 + 12 = 36 ft

h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)

Plug in the values

Area of trapezoid = ½(24 + 36)*5

= ½(60)*5

Area of trapezoid = 150 ft²

Solve for x
A) 3
B) 11
C) 6
D) 7

Answers

The answer for this is d

(x^2)+8x+12=0

i need help with this one

Answers

Answer:

x1=-6, x2=-2

Step-by-step explanation:

Answer:

this is the answer hope it helps

Can someone help me pls

Answers

the answer would have to be no since they are edges

Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP

Answers

Answer:

48 cm²

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h

Area = (8 + 16)/2 x 4

Area = 24/2 x 4

Area = 12 x 4

Area = 48 cm²

2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of . One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

Answers

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:

V = (1/3) * π * r² * h

First, simplify the volume formula for a cone to make it easier to manipulate:

V = 1/3πr²h

Next, plug in the given values for the first cone:

V = 1/3π(2²)(8) = 32π/3

Then, divide the volume of the sink by the volume of the first cone:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

Now, calculate the volume of the second cone using the same formula:

V = 1/3π(4²)(8) = 128π/3

Finally, divide the volume of the sink by the volume of the second cone:

2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.

Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

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Please hePlease necassary answers I need 9 and 10

Answers

Answer:

9) 73

10) he set off at 1:55 pm

easy-Peasy

Find the area of the composite figure.

Answers

Answer:

B. [tex] 200.5 \: {m}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]

What is the slope of the line represented by the equation y=4/5x-3

Answers

Answer:

4/5

Step-by-step explanation:

slope is 4/5

y = mx + b

m = slope

2. the sum of x and 9

Answers

Answer:

x + 9

Step-by-step explanation:

The sum of x and 9,

x + 9

Select the interval where g is positive.
Choose 1 answer:
A
1 < x < 2
B
3 < 3 < 4
4 < x < 5

Answers

Answer: it’s a

Step-by-step explanation:

Help me please I need the help

Answers

Answer:

p - 3

Step-by-step explanation:

Key expression: 3 fewer than

Fewer than = subtract from

subtract 3 from a number, p

This means that the expression would be p - 3

Because you are subtracting 3 from a number ( p )

Find the coordinates of the 4th vertex d

Answers

Answer:

I think its b

Step-by-step explanation:

Sam is making a picture frame. He is gluing craft sticks end-to-end to a piece of cardboard. The sticks do not overlap. The top of the frame is 18 and one-third inches long. Each craft stick is 3 and one-third inches long.

How many craft sticks will Sam glue to the cardboard to make the top of the frame?

Answers

Answer: 5 1/2

Step-by-step explanation:

I took the test ig, but im not 100% sure

Help please & thank you , need it asap

Answers

Answer:

x = 180 - 30 - 41 - 67 = 42°

You need to do l x w = h divided by 2.

What is 6% of 7500 + 5% of 7500​

Answers

Answer: It should be 825

Step-by-step explanation:

.06*7500= 450
.05*7500= 375

450+375= 725

Answer is 725

Marie bicycled 15 miles at 5 miles per
hour. How long did Marie bicycle?

Answers

Answer:

3 hours

Step-by-step explanation:

15÷5=3 so that's ot

IM GIVING 20 POINTS PLEASE HELP AAA
Sarah wants to find out how many apps she can download on her phone. She know that 5 apps cost $20. Create 3 ratio tables using: addition, multiplication and rate reasoning to show how many apps Sarah could download. Include 3-5 entries per table. Be prepared to explain how you arrived at your ratios.

Answers

Answer:

the ration of 3:5. 5 x 4 gives you 20 so, 3x4 gives you 12.

Permudahkan ungk
8a + 3b - 2a - b​

Answers

Answer:

answer:8a + 3b - 2a - b

=8a-2a+3b-b

=6a+2b or 2(3a+b) is your answer

name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.

Answers

ABC, CBA, 1, B

the angle is obtuse

Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain

Answers

Answer:

1. I'll Be Fine - Juice Wrld

2. ON GOD - Juice Wrld

3. Rich and Blind - Juice Wrld

2 1/6* 2 5/6 IN SIMPLEST FORM

Answers

Answer:

6 5/36

Step-by-step explanation:

MARK ME BRAINLIEST?

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Answers

58x9= 522
26 - 522 = -496

Answer:

-496

Step-by-step explanation:

it's right :)

I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY

Answers

Q5 is 115. Hope this helps! :) ✨

I can't see the numbers on Q6 sorry :((

For each value of y, determine whether it is a solution to 7y - 9 = -58

Answers

Answer:

The answer is -7.

Step-by-Step explanation:

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