## Related questions with answers

Question

These exercise involve the formula for the area of a circular sector. The area of a sector of a circle with a central angle of $140^{\circ}$ is $70 \mathrm{m}^{2}.$ Find the radius of the circle.

Solution

VerifiedStep 1

1 of 5$\begin{align*} \ \ r=x \\ \ \ \theta = 140 \text{\textdegree} \\ \ \ 140\text{\textdegree} \cdot \dfrac{\pi}{180} = \dfrac{7\pi}{9} \\ \ \ area = 70m^{2} \end{align*}$

$A= \dfrac{1}{2} r^{2} \theta$

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