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stellarik [79]
3 years ago
13

The circumference of a circle is 5 Pi cm. What is the area of the circle?

Mathematics
2 answers:
telo118 [61]3 years ago
6 0

Answer:

6.25\pi or and estimated answer of 19.625

Step-by-step explanation:

C = 2R\pi

Since  2R = D, the diameter is 5 cm and the radius is 2.5 cm

(D = diameter) (R = radius)

The area of a circle is R^{2}\pi

So 2.5 squared equals 6.25

The area of this circle is 6.25\pi

or and estimated answer of 19.625

(6.25 times pi)

Ber [7]3 years ago
4 0

Answer:

6.25 pi cm^2

Step-by-step explanation:

The formula for circumference is

C = 2*pi*r

We know the circumference is 5 pi

5 pi = 2 * pi *r

Divide each side by pi

5 pi/pi = 2 * pi *r/pi

5 = 2r

Divide by 2

5/2 = 2r/2

2.5 = r

We need to find the area of the circle

The area is given by

A = pi * r^2

   = pi * (2/5)^2

    = pi *6.25

    = 6.25 pi cm^2

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APQR is inscribed in a circle with P=60, Q = 80, and R = 40. What are the measures of PQ, QR, and PR?
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Answer:

PQ:80

QR:160

PR:120

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3 years ago
-8(8 - x) = 4/5(x + 10)
Vedmedyk [2.9K]

Answer:

x = 10

Step-by-step explanation:

Solve for x:

-8 (8 - x) = (4 (x + 10))/5

Multiply both sides by 5:

-8×5 (8 - x) = (5×4 (x + 10))/5

(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):

-8×5 (8 - x) = 4 (x + 10)

5 (-8) = -40:

-40 (8 - x) = 4 (x + 10)

Expand out terms of the left hand side:

40 x - 320 = 4 (x + 10)

Expand out terms of the right hand side:

40 x - 320 = 4 x + 40

Subtract 4 x from both sides:

(40 x - 4 x) - 320 = (4 x - 4 x) + 40

40 x - 4 x = 36 x:

36 x - 320 = (4 x - 4 x) + 40

4 x - 4 x = 0:

36 x - 320 = 40

Add 320 to both sides:

36 x + (320 - 320) = 320 + 40

320 - 320 = 0:

36 x = 40 + 320

40 + 320 = 360:

36 x = 360

Divide both sides of 36 x = 360 by 36:

(36 x)/36 = 360/36

36/36 = 1:

x = 360/36

The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:

Answer:  x = 10

7 0
3 years ago
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