CPM Homework Help : MC2 Problem 6-52

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Home > MC2 > Chapter 6 > Lesson 6.1.5 > Problem 6-52

6-52.

Find the area of each shaded portion, called a sector, in the circles below.

Hint:

Refer to Problem 6-41 for help.

The diameter is $3$ feet.
Hint 1(a):
The radius is half the diameter.
Hint 2(a):
Therefore the radius is $1.5$ feet. Now use the equation for the area of a circle: $A=r^2π$
Hint 3(a):
Substitute $1.5$ for $r$ .
$A=(1.5)^2π$
More Help (a):
The area of the entire circle is approximately $7$ square feet. Since only half of the circle is shaded, we must divide the total area by $2$ .
Answer (a):
$3.5$ square feet

The radius is $12$ ft.
Hint (b):
Find the area of the circle, then divide it by $4$ since only one-fourth of the circle is shaded.

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