Answer :
if the circumference of the shield is 100.48inches, nits radius is 16 inches and the area of the front of the shield is about 803.84 square inches.
proof
circumference = 2x r x Pi implies r =circumference / 2Pi=100.48/2x3.14=16
area = Pi x r²=3.14 x 16²=804.84
proof
circumference = 2x r x Pi implies r =circumference / 2Pi=100.48/2x3.14=16
area = Pi x r²=3.14 x 16²=804.84
Answer:
The radius of shield is 16 inches and the area of front of the shield is [tex]803.84 inches^2[/tex]
Step-by-step explanation:
Circumference of circle = [tex]2\pi r[/tex]
Circumference of the shield is 100.48 inches
⇒[tex]2 \pi r = 100.48[/tex]
⇒[tex]2\times 3.14 \times r = 100.48[/tex]
⇒[tex]6.28\times r = 100.48[/tex]
⇒[tex]r = \frac{100.48}{6.28}[/tex]
⇒[tex]r = 16[/tex]
Thus the radius of shield is 16 inches
Area of shield = [tex]\pi r^2[/tex]
= [tex]3.14 \times (16)^2[/tex]
= [tex]803.84 inches^2[/tex]
Hence the radius of shield is 16 inches and the area of front of the shield is [tex]803.84 inches^2[/tex]