Question

an needs to find the area of the shaded region shown below. Which statements can he use to find the answer? Select three options.

The radius is 5.5 feet.

The area of the whole circle is A = (5.5) squared pi.

The area of the whole circle is A = (11) squared pi.

The area of the shaded region can be found by multiplying the area of the whole circle by three-fourths as in A = three-fourths (pi times r squared).

The area of the shaded region can be found by multiplying the area of the whole circle by two-thirds as in A = two-thirds (pi times r squared).

Answer 1

Answer:

Step-by-step explanation:

To find out the area of the shaded region, you should use the following formulas -

1) The radius is 5.5 feet. (Area of circle = $\pi$r²)

2) The area of the whole circle is A = (5.5) squared pi.  (You can find the area of whole square)

3) The area of the shaded region can be found by multiplying the area of the whole circle by three-fourths as in A = three-fourths (pi times r squared).

(Since, 3/4 part is shaded, you should multiply 3/4 with the whole area of square)

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Why we can't use other formulas as stated-

1) The area of the whole circle is A = (11) squared pi.  (To find the area of circle, we need radius not diameter. Radius is available)

2) The area of the shaded region can be found by multiplying the area of the whole circle by two-thirds as in A = two-thirds (pi times r squared).

(The circle is not divided in three parts and two parts are not shaded. There we can't use 2/3)