CPM Homework Help : CC3 Problem 3-86

Find the area and circumference of a circle with a diameter of $15$ cm. If you need help remembering how to do this, read the Math Notes box in this lesson.

Hint:

Remember the the area of a circle is $\pi r^2$ and the circumference of a circle is $2\pi r$ .

More Help:

The radius of a circle is half the diameter.

Answer:

radius $=7.5$ cm

Area $=\pi·(7.5\text{ cm})^2=\pi·(7.5\text{ cm})(7.5\text{ cm})=56.25\pi \text{ cm}^2\approx176.7\text{ cm}^2$

Circumference $=2\pi·(7.5\text{ cm})=15\pi \text{ cm}\approx47.1\text{ cm}$

A circle with a horizontal line through the center, labeled, diameter = 15 cm.