Question Type 3: Calculating the area of sector given a radius and specific angle Bootcamps

Calculate the area of a sector with radius $r = 5$ cm and central angle $\theta = \frac{\pi}{3}$ rad.

Find the area of a sector with radius $12$ cm and central angle $\frac{2\pi}{5}$ rad.

Find the area of a sector of a circle with radius $10$ cm and central angle $60^\circ$.

A sector has radius $7$ cm and central angle $120^\circ$. Calculate its area.

A sector of a circle has radius $15$ cm. If its area is $45\pi\text{ cm}^2$, find the central angle in radians.

The area of a sector is $50\text{ cm}^2$ and its angle is $\frac{\pi}{2}$ rad. Find the radius of the circle.

The area of a sector is $18\pi\text{ cm}^2$ and its radius is $6$ cm. Determine the central angle in radians.

A circle of radius $9$ cm has a sector with central angle $45^\circ$. Calculate the sector area to two decimal places.

Find the radius of a circle if a sector of angle $2$ rad has area $200\text{ cm}^2$.

A sector has radius $8$ cm and area $80\text{ cm}^2$. Calculate the central angle in radians.

Given the arc length of a sector is $10\pi$ cm and radius $10$ cm, find the area of the sector.