Solve the problem.
-Find the measure (in radians) of a central angle of a sector of area 45 square inches in a circle of radius 9 inches. Round to the nearest hundredth.
A) $0.56$ radians
B) $2.22$ radians
C) $1.11$ radians
D) $1.67$ radians

Question

Quizplus · Accepted Answer

The area of a sector of a circle is given by the formula $A = \frac{1}{2}r^2\theta$, where $A$ is the area, $r$ is the radius, and $\theta$ is the central angle in radians. Plugging in the given values, $45 = \frac{1}{2} \times 9^2 \times \theta$, solving for $\theta$ gives $\theta = 1.11$ radians.

Solve the Problem 0.560.560.56 Radians B) 2.222.222.22 Radians C) 1.111.111.11 Radians D) 1.671.671.67 Radians

Solve the Problem $0.56$ Radians
B) $2.22$ Radians
C) $1.11$ Radians
D) $1.67$ Radians