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The circumference of a circle is 60π cm. What is the radius of the circle

User Skittles
by
5.7k points

2 Answers

1 vote

Final Answer:

The radius of the circle is 30 cm. Option D is answer.

Step-by-step explanation:

We know the formula for the circumference of a circle:

C = 2πr

where:

C is the circumference

π is pi (approximately 3.14159)

r is the radius

We are given the circumference C = 60π cm. We can solve for the radius r by rearranging the formula:

r = C / (2π)

Plugging in the given value for C:

r = 60π cm / (2 * 3.14159)

r ≈ 30.12 cm

Rounding to the nearest whole centimeter, the radius of the circle is 30 cm.

Option D is answer.

"

Complete Question

The circumference of a circle is 60π cm. What is the radius of the circle?

A. 120 cm

B. 60 cm

C. 90 cm

D. 30 cm

"

User Sanya Tobi
by
5.6k points
5 votes

Answer:

15 cm

Step-by-step explanation:

Circumference of circle= 2πr, where r us the radius of the circle.

Given that the circumference of circle is 60πcm,

60π= 2πr

Divide by 2 on both sides,

15π= πr

Divide by π on both sides,

15= r

Thus, radius of circle= 15cm.

User Omkar Puttagunta
by
5.9k points