Question

A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approximate pi. 10.54 cm² 27.02 cm² 87.47 cm² 104.86 cm² Circle inscribed inside a square with outside shaded, one side labeled 7 cm

Answer 1

Answer:

The best approximation for the area of the shaded region is $10.54\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the square minus the area of the circle

Step 1

Find the area of the square

The area of the square is equal to

$A=b^{2}$

where

b is the length side of the square

we have

$b=7\ cm$

substitute

$A=7^{2}=49\ cm^{2}$

Step 2

Find the area of circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7/2=3.5\ cm$ -----> the radius is half the diameter

substitute

$A=(3.14)(3.5^{2})=38.465\ cm^{2}$

Step 3

Find the area of the shaded region

$49\ cm^{2}-38.465\ cm^{2}=10.535\ cm^{2}$

Answer 2

Answer with explanation:

Length of side of Square = 7 cm

Area of Square = (Side)²=7²=49 cm²

Diameter of circle = 7 cm

So, Radius $=\frac{7}{2}=3.5$ cm

Area of circle = π × (Radius)²

                       =3.14 × (3.5)²

                       = 3.14 × 12.25

                       =  38.465 cm²

Area of shaded Region = Area of Square - Area of Circle

                                        = 49 - 38.465

                                        =  10.535 cm²

                                        =10.54 cm²

Option A