Question Type 2: Calculating the arc length given some parameters Exercises

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

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

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

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

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

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

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

Compute the arc length of a sector with radius $7$ and angle $150^\circ$.

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

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

Given a sector area of $72\pi$ with central angle $60^\circ$, determine the radius.

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