We need to find the circumference and area of three circles. Circle 1 has a diameter of 25 m. Circle 2 has a radius of 4.8 yd. Circle 3 has a radius of 7.5 in.

1. Problem Description

We need to find the circumference and area of three circles.

Circle 1 has a diameter of 25 m.

Circle 2 has a radius of 4.8 yd.

Circle 3 has a radius of 7.5 in.

2. Solution Steps

For Circle 1:

The diameter, $d$, is 25 m.

The radius, $r$, is $d/2 = 25/2 = 12.5$ m.

The circumference, $C$, is given by the formula:

$C = 2 \pi r = \pi d$

$C = \pi (25) \approx 78.54$ m

The area, $A$, is given by the formula:

$A = \pi r^2$

$A = \pi (12.5)^2 = \pi (156.25) \approx 490.87$ m$^2$

For Circle 2:

The radius, $r$, is 4.8 yd.

The circumference, $C$, is given by the formula:

$C = 2 \pi r$

$C = 2 \pi (4.8) = 9.6 \pi \approx 30.16$ yd

The area, $A$, is given by the formula:

$A = \pi r^2$

$A = \pi (4.8)^2 = \pi (23.04) \approx 72.38$ yd$^2$

For Circle 3:

The radius, $r$, is 7.5 in.

The circumference, $C$, is given by the formula:

$C = 2 \pi r$

$C = 2 \pi (7.5) = 15 \pi \approx 47.12$ in

The area, $A$, is given by the formula:

$A = \pi r^2$

$A = \pi (7.5)^2 = \pi (56.25) \approx 176.71$ in$^2$

3. Final Answer

Circle 1:

Circumference: Approximately 78.54 m

Area: Approximately 490.87 m$^2$

Circle 2:

Circumference: Approximately 30.16 yd

Area: Approximately 72.38 yd$^2$

Circle 3:

Circumference: Approximately 47.12 in

Area: Approximately 176.71 in$^2$