Question

question
the diameter of a circle is 13 m. find its area to the nearest tenth.
answer attempt 1 out of 2
a = m²

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 13\) m, so \( r=\frac{d}{2}=\frac{13}{2}=6.5\) m.

Step2: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2}\). Substitute \( r = 6.5\) m into the formula: \( A=\pi\times(6.5)^{2}=\pi\times42.25\). Using \( \pi\approx3.14\), we get \( A\approx3.14\times42.25 = 132.665\) \(m^{2}\).

Step3: Round to the nearest tenth

Rounding \( 132.665\) to the nearest tenth. The digit in the hundredth place is \( 6\), so we round up the digit in the tenth place. \( 132.665\approx132.7\) \(m^{2}\).

Answer:

\(132.7\)