IB Mathematics Applications & Interpretation 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.