Applying Circumference

Student Summary

The circumference of a circle, CC, is π\pi times the diameter, dd. The diameter is twice the radius, rr. So if we know any one of these measurements for a particular circle, we can find the others. We can write the relationships between these different measures using equations:

d=2r\displaystyle d = 2r C=πd\displaystyle C = \pi d C=2πr\displaystyle C = 2\pi r

If the diameter of a car tire is 60 cm, that means the radius is 30 cm, and the circumference is 60π60 \boldcdot \pi, or about 188 cm.

If the radius of a clock is 5 in, that means the diameter is 10 in, and the circumference is 10π10 \boldcdot \pi, or about 31 in.

If a ring has a circumference of 44 mm, that means the diameter is 44 ÷π44 \div \pi, which is about 14 mm, and the radius is about 7 mm.

Visual / Anchor Chart

Standards

Addressing
7.G.4

7.G.B.4

7.G.4

7.G.B.4

7.G.4

7.G.B.4

7.G.4

7.G.B.4