2. Estimate the radius of a circle with the circumference of 272.2 inches. Use 3.14 for pi. Round to the nearest tenth.
a. 43.3
b. 136.1
c. (86.7)
d. 5,887.2
c= 2(pi)r
272.2= 2*3.14*r
272.2=6.28*r
272.2 divided by 6.28=r
43.3=r
To estimate the radius of a circle, you can use the formula:
Circumference = 2 * π * radius
Given that the circumference is 272.2 inches and π is approximately 3.14, we can rearrange the formula to solve for the radius:
radius = Circumference / (2 * π)
Substituting in the given values:
radius = 272.2 / (2 * 3.14)
Simplifying the expression:
radius = 136.1 / 3.14
Calculating this:
radius ≈ 43.3 (rounded to the nearest tenth)
Therefore, the estimated radius of the circle with a circumference of 272.2 inches is approximately 43.3 inches.
The correct answer is option a. 43.3.