Question Type 1: Converting from degrees to radians Exercises

Convert $210^\circ$ to radians.

A circle has radius 6 and a central angle of $60^\circ$. Calculate the corresponding arc length.

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

Convert $45^\circ$ to radians.

Convert $135^\circ$ to radians.

Calculate the arc length on a circle of radius 3 subtended by an angle of $\frac{2\pi}{3}$ radians.

Calculate the area of a sector with radius 5 and central angle $\frac{5\pi}{6}$ radians.

Find the area of a sector of radius 4 and central angle $\frac{\pi}{3}$ radians.

Find the length of an arc on a circle of radius 5 if the central angle is $\frac{\pi}{4}$ radians.

A wheel of radius 10 rolls through an angle of 210°. Find the arc length covered.

A sector has radius $2$ and central angle $45^\circ$. Find its area.

Convert $300^\circ$ to radians.