Answer:
- Area of the circle is 56.25π square feet.
Step-by-step explanation:
<u>Given that</u>:
- The circumference of a circle is 15π ft.
<u>To Find</u>:
- What is the area, in square feet?
<u>We know that</u>:
- Circumference of a circle = 2πR
- Area of a circle = πR²
Where,
<u>Finding the radius of the circle</u>:
Circumference of a circle = 15π
⟶ 2πR = 15π
⟶ 2πR = 2π × 7.5
Cancelling 2π.
⟶ R = 7.5
∴ Radius of the circle = 7.5 ft.
<u>Finding the area of the circle</u>:
⟶ Area = πR²
⟶ Area = π(7.5)²
⟶ Area = π × 7.5 × 7.5
⟶ Area = π × 56.25
⟶ Area = 56.25π
∴ Area of the circle = 56.25π ft.²
Shannon's scooter has a piece of tape stuck to the tire. If
the tire has a diameter of 18 inches, the distance traveled by the piece of
tape in 72 degree rotaion can be solve using:
S= ra, where s is the distance traveled, r is the radius and
a is the angle in radians
s = (18in/2)(72 degree)(pi/180 degrees) = 11.31 in.
Answer:
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