Find Circumference And Area Of A Circle

Explanation
The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is given as 5 meters. Substituting this value into the formula, we get C = 2π(5) = 10π meters. Since the value of π is approximately 3.14, the circumference of the circle is approximately 10(3.14) = 31.4 meters. Therefore, the closest answer to the actual circumference is 30 meters.

Explanation
The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle. Since the diameter is given as 18 meters, the radius is half of that, which is 9 meters. Plugging this value into the formula, we get A = π(9^2) = 81π. Approximating π to 3.14, we find that the area is approximately 254.34 square meters. Therefore, the closest answer is 243 square meters.

Explanation
The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is given as 12 inches. Plugging this value into the formula, we get C = 2π(12) = 24π inches. Since the value of π is approximately 3.14, the circumference is approximately 24(3.14) = 75.36 inches. Therefore, the correct answer is 72 inches.

Explanation
The sprinkler can spray water in all directions for a distance of 10 feet. This means that the sprinkler can cover a circular area with a radius of 10 feet. The formula to calculate the area of a circle is πr^2, where r is the radius. Therefore, the area covered by the sprinkler is approximately 3.14 * 10^2 = 314 square feet. However, since the options provided are in multiples of 100, the closest option is 300 square feet.

Explanation
The number of square meters of a half circle can be found by calculating the area of the corresponding full circle and then dividing it by 2. The formula for the area of a circle is A = πr^2, where r is the radius. In this case, the diameter is given as 8 meters, so the radius is 4 meters. Plugging this value into the formula, we get A = π(4^2) = 16π. Dividing this by 2, we get 8π. Since the value of π is approximately 3.14, the area of the half circle is approximately 8(3.14) = 25.12 square meters. The closest option to this value is 24, which is the correct answer.

Explanation
The circumference of a circle can be found by multiplying the diameter by pi (π). In this case, the diameter is given as 25. So, the circumference would be 25 * π. Since an approximate value of π is 3.14, the circumference would be approximately 78.5. However, the closest option to this value is 75, so that would be the correct answer.