Math

QuestionFind the radius of a circle with an area of 78.5 sq ft, using π3.14\pi \approx 3.14.

Studdy Solution

STEP 1

Assumptions1. The area of the circle is78.5 square feet. . We are using3.14 as the value for π\pi.

STEP 2

The formula for the area of a circle is given byArea=πr2Area = \pi r^2where rr is the radius of the circle.

STEP 3

We are given the area and we need to find the radius. So, we need to rearrange the formula to solve for rr.
r=Areaπr = \sqrt{\frac{Area}{\pi}}

STEP 4

Now, plug in the given values for the area and π\pi to calculate the radius.
r=78.3.14r = \sqrt{\frac{78.}{3.14}}

STEP 5

Calculate the square root to find the radius.
r=78.53.145r = \sqrt{\frac{78.5}{3.14}} \approx5So, the radius of the circle is approximately5 feet.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord