Question

### Gauthmathier9938

Grade 11 · 2020-11-03

Find the area of the sector of a circle of radius 2 feet formed by an angle of 30^{\circ}. Round the answer to two decimal places.

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Answer

4.9(373) votes

### Gauthmathier8283

Grade 11 · 2020-11-03

Answer

1.05 square feet

Explanation

Use equation (8) with r=2 feet and \theta =30^{\circ}=\dfrac{\pi}{6} radian. [Remember, in equation (8), \theta must be in radians.]

A=\dfrac{1}{2}r^{2}\theta =\dfrac{1}{2}(2)^{2}\dfrac{\pi}{6}=\dfrac{\pi}{3}\approx1.05

The area A of the sector is 1.05 square feet, rounded to two decimal places.

A=\dfrac{1}{2}r^{2}\theta =\dfrac{1}{2}(2)^{2}\dfrac{\pi}{6}=\dfrac{\pi}{3}\approx1.05

The area A of the sector is 1.05 square feet, rounded to two decimal places.

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