What is the area of a semi circle to the nearest whole number? Use 3.14 or 22/7 of pi. The semicircle is 32 m.
my answer is 402.12 and rounding 402
Looks right.
To find the area of a semicircle, you can use the formula A = (π * r^2) / 2, where A represents the area and r represents the radius.
Given that the radius of the semicircle is 32 meters, you can substitute this value into the formula:
A = (π * 32^2) / 2
Now, let's calculate the area using both approximations of pi:
Using 3.14 for pi:
A = (3.14 * 32^2) / 2
A = (3.14 * 1024) / 2
A ≈ 1607.52 / 2
A ≈ 803.76
Rounding to the nearest whole number, the area of the semicircle is approximately 804.
Using the approximation 22/7 for pi:
A = ((22/7) * 32^2) / 2
A = ((22/7) * 1024) / 2
A ≈ 7168/7 / 2
A ≈ 1024 / 7
A ≈ 146.29
Rounding to the nearest whole number, the area of the semicircle is approximately 146.
Therefore, depending on the approximation of pi used, the area of the semicircle is either approximately 804 or 146, rounded to the nearest whole number.
To find the area of a semicircle, the formula to use is:
Area = (π * r²) / 2
Where:
- π is a mathematical constant approximately equal to 3.14 or 22/7.
- r is the radius of the semicircle.
In this case, the radius of the semicircle is given as 32 m.
So, plug in the values into the formula:
Area = (3.14 * 32²) / 2
= (3.14 * 1024) / 2
= 3211.52 / 2
= 1605.76
So, the area of the semicircle is approximately 1605.76 square meters.
Rounding to the nearest whole number, the answer would be 1606 square meters.