1 Answer

Srivani · Answer 1 · 2021-11-03T13:53:08+0000

Answer:

$(7\pi)/(4)$ .

Explanation:

Given information:

Radius of circle = 8 cm

Area of sector =
$56\pi\text{ cm}^2$

Formula for area of sector is

$A=(1)/(2)\theta r^2$

where, r is radius and
$\theta$ is central angle in radian.

Substitute
$A=56\pi$ and r=8 in the above formula.

$56\pi=(1)/(2)\theta (8)^2$

$56\pi=(64)/(2)\theta$

$56\pi=32\theta$

$(56\pi)/(32)=\theta$

$(7\pi)/(4)=\theta$

Therefore, the measure of the sector in radians is
$(7\pi)/(4)$ .

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