Step-by-step explanation:
1.
Given that the radius of the wall clock is 20 cm, we can find its area and circumference as follows:
- Area of the wall clock:
The formula to find the area of a circle is A = πr^2, where r is the radius of the circle.
Substituting the given value of radius, we get:
A = π × (20 cm)^2
≈ 1256.64 cm^2
Therefore, the area of the wall clock is approximately 1256.64 square centimeters.
- Circumference of the wall clock:
The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle.
C = 2π × 20 cm
≈ 125.66 cm
Therefore, the circumference of the wall clock is approximately 125.66 centimeters.
2.
Given that the radius of the wheel of Pamela's Fiat car is 36 inches, we can find its area and circumference as follows:
- Area of the Fiat-wheel:
A = π × (36 in)^2
≈ 4,069.47 in^2
Therefore, the area of the Fiat-wheel is approximately 4,069.47 square inches.
- Circumference of the Fiat-wheel:
C = 2π × 36 in
≈ 226.08 in
Therefore, the circumference of the Fiat-wheel is approximately 226.08 inches.
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Answers & Comments
Step-by-step explanation:
1.
Given that the radius of the wall clock is 20 cm, we can find its area and circumference as follows:
- Area of the wall clock:
The formula to find the area of a circle is A = πr^2, where r is the radius of the circle.
Substituting the given value of radius, we get:
A = π × (20 cm)^2
≈ 1256.64 cm^2
Therefore, the area of the wall clock is approximately 1256.64 square centimeters.
- Circumference of the wall clock:
The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle.
Substituting the given value of radius, we get:
C = 2π × 20 cm
≈ 125.66 cm
Therefore, the circumference of the wall clock is approximately 125.66 centimeters.
2.
Given that the radius of the wheel of Pamela's Fiat car is 36 inches, we can find its area and circumference as follows:
- Area of the Fiat-wheel:
The formula to find the area of a circle is A = πr^2, where r is the radius of the circle.
Substituting the given value of radius, we get:
A = π × (36 in)^2
≈ 4,069.47 in^2
Therefore, the area of the Fiat-wheel is approximately 4,069.47 square inches.
- Circumference of the Fiat-wheel:
The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle.
Substituting the given value of radius, we get:
C = 2π × 36 in
≈ 226.08 in
Therefore, the circumference of the Fiat-wheel is approximately 226.08 inches.