The fountain is made up of two semicircles, the 2 semicircles have a radius of 10ft, and a quarter circle. Find the perimeter and the area of the fountain. Round the perimeter to the nearest tenth of a foot and the area to the nearest square foot.

You don't say how the parts are arranged. If no portion of the diameters overlaps. then just add all the semi-circle perimeters. Since you don't specify the radius of the quarter-circle, I'll assume that it is also 10 ft. Given all that, the perimeter is just

2*10 + 5 + 2*5π + 5π = 25+15π
The area would be
2*25π + 25/4 π = 225π/4

To find the perimeter of the fountain, we need to calculate the lengths of the curved sections and add them together.

1. Start by finding the circumference of each semicircle. The formula for the circumference of a circle is C = π * d, where d is the diameter. Since the diameter is twice the radius, the circumference of each semicircle is C = π * 2r.

For the given radius of 10ft, the circumference of each semicircle is C = π * 2 * 10 = 20π ft.

2. Next, find the length of the quarter circle. The quarter circle represents one-fourth of a full circle, so the formula for the circumference of a quarter circle is C = π * r. Therefore, the circumference of the quarter circle is C = π * 10 = 10π ft.

3. Add the lengths of the curved sections to find the total perimeter. The perimeter of the fountain is P = 2(20π) + 10π = 40π + 10π = 50π ft.

To round the perimeter to the nearest tenth of a foot, calculate the value of 50π using a calculator. Then, round the result to the nearest tenth.

Once you have the rounded perimeter, you can move on to calculating the area of the fountain.

To find the area of the fountain, we need to sum the areas of the two semicircles and the quarter circle.

1. Start by finding the area of each semicircle. The formula for the area of a circle is A = π * r^2. Since each semicircle has half the radius of a full circle, the area of each semicircle is A = π * (r/2)^2.

For the given radius of 10ft, the area of each semicircle is A = π * (10/2)^2 = 25π ft^2.

2. Next, find the area of the quarter circle. The formula for the area of a quarter circle is A = (π * r^2) / 4. Therefore, the area of the quarter circle is A = (π * 10^2) / 4 = 25π ft^2.

3. Add the areas of the curved sections to find the total area. The area of the fountain is A = 2(25π) + 25π = 50π + 25π = 75π ft^2.

To round the area to the nearest square foot, calculate the value of 75π using a calculator. Then, round the result to the nearest whole number.