Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
3. Volume of Spheres
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Exercise 31 Page 612

Recall the formulas for finding the circumference and the area of a circle.

Circumference: about 25.1mm
Area: about 50.3mm^2

Practice makes perfect

Let's find the circumference and the area of the circle separately.

Circumference

The circumference C of a circle with radius r is calculated using the formula below. C=2Ï€ r Let's now consider the given diagram.

From the figure, we know that the radius of the circle is 4mm. We can substitute this value for r in the formula for the circumference of a circle and simplify.

C=2Ï€ r
C=2Ï€( 4)
C=2(4)Ï€
C=8Ï€
C=25.132741...
C≈ 25.1

The circumference of the circle is approximately 25.1mm.

Area

Similar to the perimeter, the area of a circle with radius r is calculated using the formula below. A=Ï€ r^2 We know that the radius of the circle is 4m. By substituting 4 for r in the formula, we can calculate A.

A=Ï€ r^2
A=Ï€( 4)^2
A=Ï€(16)
A=16Ï€
A=50.265482...
A≈ 50.3

The area of the circle is approximately 50.3 square millimeters.