Question

Find the circumferences of of both circles to the nearest hundredth.

please help one is orange with 2.5 radius and one is purple with 9 diameter

Answer 1

• purple: 28.27 ft
• orange: 43.98 ft

Explanation:

You want the circumference of a 9 ft circle, and one with a radius that is 2.5 ft greater.

Circumference

The circumference of a circle is given by the formula ...

C = πd . . . . . where d is the diameter

The circumference of the purple circle is ...

C = π(9 ft) ≈ 28.27 ft

The orange circle has a radius that is 2.5 ft longer, so its diameter is 2·2.5 ft = 5 ft longer.

C = π(9 ft +5 ft) = π(14 ft) ≈ 43.98 ft

The purple circle has a circumference of 28.27 ft; the orange circle, 43.98 ft.

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