In this lesson, we will learn how to find the areas of circular sectors and segments when the angles are given in radians.

Students will be able to

Q1:

The arc length of a circular sector is 26 cm and the central angle is 2.36 rad. Find the area, giving the answer to the nearest square centimeter, and the perimeter of the sector, giving the answer to the nearest centimeter.

Q2:

An arc has a measure of 𝜋3 radians and a radius of 5. Give the area of the sector, in terms of 𝜋, in its simplest form.

Q3:

An arc has a measure of 2𝜋3 radians and a radius of 3. Work out the area of the sector, giving your answer in terms of 𝜋 and in its simplest form.

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