Question

The circumference of one coin is 8.03cm. The circumference of another coin is 0.33cm smaller. A.) what is the first step to find the diameter of the smaller coin? B.) Find the diameter of the smaller coin.

Answer 1

Diameter of the smaller coin = 2.46 cm

Explanation:

Circumference of a coin = 2πr

Circumference of coin A = 8.03 cm

Circumference of coin B = 8.03 cm - 0.33 cm

A.) what is the first step to find the diameter of the smaller coin?

Find the circumference of coin B

Circumference of coin B = 8.03 cm - 0.33 cm

= 7.7 cm

B.) Find the diameter of the smaller coin.

Circumference of a coin = 2πr

7.7 = 2 × 3.14 * r

7.7 = 6.28r

r = 7.7 / 6.28

r = 1.23 cm

Diameter = 2r

= 2 * 1.23 cm

= 2.46 cm

Diameter of the smaller coin = 2.46 cm