Question

8.
a circle with diameter 8 m is shown.
area =
circumference =

Explanation:

Step1: Find the radius

The diameter of the circle is 8 m, so the radius \( r=\frac{8}{2}=4 \) m.

Step2: Calculate the area

The formula for the area of a circle is \( A = \pi r^{2} \). Substituting \( r = 4 \), we get \( A=\pi\times4^{2}=16\pi\approx 50.24 \) \( m^{2} \).

Step3: Calculate the circumference

The formula for the circumference of a circle is \( C = \pi d \) (or \( C = 2\pi r \)). Using \( d = 8 \), we get \( C=\pi\times8 = 8\pi\approx 25.12 \) m.

Answer:

Area: \( 50.24 \, m^{2} \) (or \( 16\pi \, m^{2} \))
Circumference: \( 25.12 \, m \) (or \( 8\pi \, m \))