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12. find the area of a circle with a diameter of 12 meters.

Question

  1. find the area of a circle with a diameter of 12 meters.

Explanation:

Step1: Find the radius

The diameter \( d = 12 \) meters. The radius \( r \) is half of the diameter, so \( r=\frac{d}{2}=\frac{12}{2} = 6 \) meters.

Step2: Use the area formula for a circle

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 6 \) into the formula: \( A=\pi\times6^{2}=\pi\times36 = 36\pi \) square meters (or approximately \( 36\times3.14 = 113.04 \) square meters).

Answer:

The area of the circle is \( 36\pi \) square meters (or approximately \( 113.04 \) square meters).