Question

find the radius and diameter of each circle. 1) radius = 12 yd diameter = 2) radius = 92 in diameter = 3) radius = 23 ft diameter = 4) radius = 59 in diameter = 5) radius = 19 ft diameter = 6) radius = 50 yd diameter =

Explanation:

Step1: Recall the relationship

The diameter $d$ of a circle is twice the radius $r$, i.e., $d = 2r$ and $r=\frac{d}{2}$.

Step2: Solve for problem 1

Given $r = 12$ yd, then $d=2r = 2\times12=24$ yd.

Step3: Solve for problem 2

Given $d = 92$ in, then $r=\frac{d}{2}=\frac{92}{2}=46$ in.

Step4: Solve for problem 3

Given $r = 19$ ft, then $d = 2r=2\times19 = 38$ ft.

Step5: Solve for problem 4

Given $d = 56$ yd, then $r=\frac{d}{2}=\frac{56}{2}=28$ yd.

Step6: Solve for problem 5

Given $r = 23$ ft, then $d = 2r=2\times23=46$ ft.

Step7: Solve for problem 6

Given $d = 50$ yd, then $r=\frac{d}{2}=\frac{50}{2}=25$ yd.

Answer:

1. Radius = 12 yd, Diameter = 24 yd
2. Radius = 46 in, Diameter = 92 in
3. Radius = 19 ft, Diameter = 38 ft
4. Radius = 28 yd, Diameter = 56 yd
5. Radius = 23 ft, Diameter = 46 ft
6. Radius = 25 yd, Diameter = 50 yd