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Lesson: Area of a Circle Mathematics • 7th Grade

In this lesson, we will learn how to find the area of a circle given its radius or diameter using the formula πr^2 or π(d/2)^2 and solve problems involving quarter circles and semicircles and real-life situations.

Lesson Plan

Students will be able to

understand how the formula is found,
use the formula to calculate the area of a circle,
calculate the area of quarter-circles and semicircles,
calculate the area of a sector of a circle when the circle has been split into equal sectors,
solve problems involving the area of circles, quarter-circles, and semicircles.

Lesson Video

Lesson Playlist

01:10
01:41
01:59

Lesson Worksheet

Q1:

Using for , work out the area of the circle, giving your answer accurate to two decimal places.

Q2:

Given that the inner radius is 6.5 cm and the outer radius 11.5 cm, use 3.14 in place of to find the area of the colored region.

Q3:

Using for , work out the area of the circle, giving your answer accurate to two decimal places.