Question

find the area of the smaller sector.
round to the nearest tenth.

area = ?m²

Explanation:

Step1: Recall the formula for the area of a sector

The formula for the area of a sector of a circle is \(A=\frac{\theta}{360}\times\pi r^{2}\), where \(\theta\) is the central angle of the sector and \(r\) is the radius of the circle.

Step2: Identify the values of \(\theta\) and \(r\)

Given \(\theta = 130^{\circ}\) and \(r = 8.02\space m\).

Step3: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Step4: Calculate the value

$$
LATEXBLOCK1
$$

Answer:

\(72.2\space m^{2}\)