find the perimeter to the nearest tenth of a semi circle with a radius of 8 inches?
recall that the entire circumference is C = 2πr
So, you want half that, or 8π
To find the perimeter of a semicircle, we need to find the circumference of the full circle and then divide it by 2.
The formula for the circumference of a circle is: Circumference = 2πr, where r is the radius.
Given that the radius of the semicircle is 8 inches, we can calculate the circumference as follows:
Circumference = 2πr = 2π(8) = 16π ≈ 50.27 inches (rounded to the nearest hundredth)
Since we only need to find the perimeter of the semicircle, we divide the circumference by 2:
Perimeter = Circumference / 2 = 50.27 / 2 ≈ 25.135 inches (rounded to the nearest tenth)
Therefore, the perimeter of the semicircle to the nearest tenth is approximately 25.1 inches.
To find the perimeter of a semicircle, we need to add the lengths of the curved part and the straight part.
1. To find the curved part, we use the formula for the circumference of a circle. The formula is C = 2πr, where C represents the circumference and r represents the radius.
2. For a semicircle, we need to find half of the circumference. So, we divide the formula by 2: C/2 = (2πr)/2 = πr.
3. Now, we substitute the given radius of 8 inches into the formula: π * 8 = 8π inches.
4. The straight part of the semicircle is the diameter, which is twice the radius. So, the straight part is 2 * 8 = 16 inches.
5. We add the curved part and the straight part to find the perimeter: 8π inches + 16 inches = 8π + 16 ≈ 8 * 3.14159 + 16 ≈ 32 + 16 ≈ 48 inches.
Therefore, the perimeter of the semicircle with a radius of 8 inches is approximately 48 inches.