Question

A circle has a sector with area 20\pi20π20, pi and central angle of \purple{\dfrac{2}{5}\pi}

5

2

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πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians .

Answer 1

Answer:

$r = \sqrt{50}$

Explanation:

The exercise ask for the radius of the circular sector given its area and central angle. The radius is given by the following expression:

$r = \sqrt{\frac{2\cdot A}{\theta}}$

$r = \sqrt{\frac{20\pi}{\frac{2\pi}{5} }}$

$r = \sqrt{\frac{100\pi}{2\pi}}$

$r = \sqrt{50}$