Help! It’s due tonight and I need help!
Help! It’s due tonight and I need help!
Answer:
Step-by-step explanation: 1198,8
If both circles have the same center and the circumference of the inner circle is 96.712 feet, the area of the shaded region is 3765.645 ft².
Given: circumference of inner circle = 96.712 ft
length of outer ring = 22.5 ft
π=3.14
Circumference of a circle can be calculated using the formula,
C = 2πr
where C⇒ circumference of a circle,
r⇒ radius of a circle.
We can find the radius of the inner circle by calculating the circumference of the inner circle, i.e,
96.712 ft = 2 x 3.14 x r, where r represents the radius of the inner circle,
∴ r = 15.4 ft
The radius of the outer circle = 22.5 + 15.4
R = 37.9 ft
So,
Area of the outer circle = πR²
A = 3.14 x (37.9ft)²........................(i)
⇒Area of the outer circle, A = 4510.3274 ft²
Next,
Area of the inner circle = πr²
a = 3.14 x (15.4ft)²
⇒Area of the inner circle, a = 744.6824 ft²........................(ii)
So,
Area of the shaded region = Area of the outer circle - Area of the inner circle
= 4510.3274 ft² - 744.6824 ft²
= 3765.645 ft²
Therefore, If both circles have the same center and the circumference of the inner circle is 96.712 feet, the area of the shaded region is 3765.645 ft².
Read more about concentric circles on:
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