Question

A circle has area 841(3.14) cm^2. What is the diameter? a. cm c. 58 cm b. 29 cm d. 58 cm2

Answer 1

The answer is C. 58 centimeters.

Answer 2

The answer is 58 cm.

Explanation:

In order to determine the diameter of a circle, we need to know about the formula of the area of a circle. The area just depends on the radius of circle.

I have attached an image that shows a circle and its formula. Also we have to know that the diameter of a circle is twice its radius.

Then:

R=radius of the circle

D=diameter of the circle

A=area of the circle

`\pi=3.14 \\A=\pi R^2\\841*3.14=3.14*R^2\\841=R^2\\R=√(841)\\R=29`

Therefore:

`D=2R\\D=2*29\\D=58`

Finally, the diameter of the circle is 58 cm.