Question

Find the diameter of a circle withan area of 615.75 cm^2.

Answer 1

Question: Find the diameter of a circle with an area of 615.75 cm^2.

Solution:

Remember that the area of the circle is given by the following equation:

`A=\pi r^2`

where r is the radius of the circle. Now notice that the diameter is 2r, which is two times the radius. Therefore, from the previous equation, we find the radius of the circle, and with this its diameter:

`r^2=(A)/(\pi)\text{ = }(615.75cm^2)/(3.1416)=195.99cm^2`

Taking the square root to the previous equation, we have that the radius is:

`r\text{ = 13.99}\approx14`

then, we can conclude that the diameter is:

`d\text{ = 2r = 2(13.99) = 27.99}\approx28`