Question Type 1: Converting from degrees to radians Exercises

Convert 45° to radians.

Convert 210° to radians.

Convert 135° to radians.

A sector has radius 2 and central angle 45°. Find its area.

Convert 300° to radians.

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

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

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

A circle has radius 6 and a central angle of 60°. Calculate the corresponding arc length.

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

A sector has radius 7 and central angle 120°. Calculate its area.

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