IB Mathematics Applications & Interpretation Question Type 2: Calculating the Arc Length Given Some Parameters Exercises

Calculate the area of a sector with radius $5$ and central angle $60^{\circ }$.

Find the radius of a circle if a sector with angle $120^{\circ }$ has area $150\pi$.

Find the arc length of a sector with radius $3$ and angle $120^{\circ }$.

Calculate the arc length of a sector with radius $4$ and central angle $35^{\circ }$.

Find the arc length of a sector with radius $10$ and central angle $60^{\circ }$.

Calculate the arc length of a sector with radius $7\text{ cm}$ and angle $150^{\circ }$.

A sector has area $50\pi$ and central angle $90^{\circ }$. Find the radius of the circle.

Find the area of a sector with radius $9$ and central angle $120^{\circ }$.

Calculate the area of a sector with radius $4$ and central angle $210^{\circ }$.

A circle has radius $5$. Find the length of the arc cut off by a $45^{\circ }$ angle.

A sector of a circle has a central angle of $60^{\circ }$ and an area of $72\pi$. Find the radius of the sector.

Determine the arc length for a circle of radius $12$ with central angle $210^{\circ }$.