Practicing Success
The area of a sector of a circle is 88 sq. cm., and the angle of the sector is 45°. Find the radius of the circle. (Use $л=\frac{22}{7}$) |
$3\sqrt{11}$ cm $4\sqrt{14}$ cm $6\sqrt{13}$ cm $5\sqrt{14}$ cm |
$4\sqrt{14}$ cm |
Let the radius of the circle be P cm. According to the question, ⇒ (\(\Pi \) x \( {P }^{ 2} \)) x \(\frac{45}{360}\) = 88 ⇒ (\(\frac{22}{7}\) x \( {P }^{ 2} \)) x \(\frac{1}{8}\) = 88 ⇒ \( {P }^{ 2} \) = (4 x 7 x 8) ⇒ \( {P }^{ 2} \) = 4\(\sqrt { 14}\) cm Therefore, the radius of the circle is 4\(\sqrt { 14}\) cm. |