Question

I NEED HELP ASAP MISSING ASSIGNMENTS HAVE TO BE TURNED IN TOMORROW \

Answer 1

Part 1:  Circumference of circle  = $105.20$ inches & Area of circle = $880.97 inches^{2}$

Part 2: Area of circle = $3.14 ft^{2}$

Part 3: Area of square not covered by  circle = $29.69inches^{2}$.

Step-by-step explanation:

Part 1:

We have radius of circle as $16\frac{3}{4} = 16.75 inches$ . Let's find area & circumference of circle:

Circumference of circle = $2\pi r$

⇒ Circumference of circle = $2\pi r$

⇒ Circumference of circle = $2\pi r$ = $2(3.14)(16.75)$

⇒ Circumference of circle  = $105.20$ inches

Area of circle = $\pi r^{2}$

⇒ Area of circle=  $\pi r^{2}$

⇒Area of circle = $\pi r^{2}$ = $(3.14)(16.75)^{2}$

⇒ Area of circle = $880.97 inches^{2}$

Part 2:

Circumference of circle = $2\pi r$ = $6.28ft$

⇒ $2\pi r = 6.28$

⇒ $r = \frac{6.28}{2\pi } = \frac{6.28}{2(3.14)} = 1 ft$

Area of circle = $\pi r^{2}$

⇒Area of circle = $\pi r^{2}$ = $(3.14)(1)^{2}$

⇒ Area of circle = $3.14 ft^{2}$

Part 3:

Perimeter of square = $4a$ , a is side of square.

⇒ $4a = 47$

⇒ $a = \frac{47}{4}$

⇒ a = $11.75 inch$

Since radius of circle inscribed in square is half of side of square i.e.

$radius = \frac{a}{2}\\ radius = r = \frac{11.75}{2}$

$r = 5.875inch$

Now, Area of square not covered by  circle = Area of square - area of circle

⇒ $a^{2} - \pi r^{2}$

⇒ $11.75^{2} - 3.14(5.875)^{2}$

⇒ $29.69inches^{2}$

∴ Area of square not covered by  circle = $29.69inches^{2}$.