An angle has its vertex centered at the origin of a circle. It cuts an arc length of 5 units and subtends an area of 75 square units. What is the radius of the circle? What is the radian measure of the angle? (Express numbers in exact form. Use symbolic notation and fractions where needed.) r = units ? = radians
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We know that the area of a sector 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 angle in radians. Show more…
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