IB Mathematics Analysis and Approaches Question Type 2: Calculating the Arc Length Given a Radius and Specific Angle Exercises

Calculate the length of the arc for a circle with radius $7.2$ and a central angle of $210^{\circ }$.

Calculate the arc length of a circle with radius $4$ when the central angle is $10$ radians.

Find the arc length of a circle with radius $4$ when the central angle is $\frac{2\pi }{3}$ radians.

Determine the length of the arc in a circle of radius $9$ if the central angle is $0.75$ radians.

Determine the arc length of a circle with radius $5$ when the central angle is $90^{\circ }$.

A circle has radius $8$ and a central angle of $45^{\circ }$. Compute the arc length.

A circle has radius $5$ and a central angle of $360^{\circ }$. Compute the arc length.

Find the length of the arc in a circle of radius $6$ subtended by an angle of $2$ radians.

A circle of radius $12$ has a central angle of $270^{\circ }$. Determine the arc length.

Find the length of the arc in a circle of radius $10$ subtended by an angle of $\frac{5\pi }{6}$ radians.

Calculate the arc length of a circle with radius $3.5$ for a central angle of $120^{\circ }$.

Find the arc length of a circle with radius $2.5$ when the central angle is $15^{\circ }$.