# Find the area of the figure to the nearest tenth

**Solution:**

The diagram shown in the problem is part of a circle of radius 7 inches. The angle subtended at the center is 165°.

The area of the circle of radius 7 inches is given by the formula:

Area of circle radius r = πr^{2}

Substituting r = 7 inches the area of the circle is

A = π(7)^{2} = 49 π inches^{2}

A circle represents an angle of 360°. at the center. Therefore we can state that 360° corresponds to the area of the circle. Therefore 165°, which corresponds to the sector shown in the question, will correspond to an area of :

Area of the sector = (165°/360°) × 49 π

= (11/24)49 π

= (539/24)π

= 22.46π inches^{2}

Area of the sector = 70.6 inches^{2}

## Find the area of the figure to the nearest tenth

**Summary:**

The area of the figure to the nearest tenth is 70.6 inches^{2}

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