Question

A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area (shaded region) of the remaining portion of the circle in square feet?
A.25 feet
B.40 feet
C.50 feet
D.80 feet

Answer 1

Answer:

C

Step-by-step explanation:

area if squre is πr^2

so...

$\pi {r}^{2} = 3.14 \times 7 \times 7 = 153.86 {ft}^{2}$

r means radius and...radius is diameter/2

now we must subtract the area of the square

${a}^{2} = 10 \times 10 = 100 {ft}^{2}$

$153.86 - 100 = 53.86 {ft}^{2}$

nearest answer is 50

Answer 2

Answer:

Step-by-step explanation:

r = 14/2 = 7 feet

Area of circle=πr²=22*7*7/7 = 22*7= 154 sq. feet

Area of square = side*side = 10*10 =100

Area of shaded region = Area of circle - Area of square

    =154 - 100 = 54 sq. feet ≈ 50 sq. feet