find the area of each circle. round to the nearest tenth.use 3.14or 22/7.
1.circle with 6cm
2.circle with 25in
3.circle with 11ft
4.diameter =10.5
5.radius=6.3mm
6.radius=31/4 yd
circle with 6 cm what? diameter? radius? circumference?
To find the area of a circle, we can use the formula A = πr², where A represents the area and r represents the radius. We can round the result to the nearest tenth using the given approximation for π.
1. Circle with a radius of 6 cm:
A = π(6 cm)²
A = 3.14 * (6 cm)²
A ≈ 113.04 cm²
2. Circle with a radius of 25 in:
A = π(25 in)²
A = 3.14 * (25 in)²
A ≈ 1962.5 in²
3. Circle with a radius of 11 ft:
A = π(11 ft)²
A = 3.14 * (11 ft)²
A ≈ 380.81 ft²
4. Circle with a diameter of 10.5:
The radius can be found by dividing the diameter by 2.
r = 10.5 / 2
r = 5.25
A = π(5.25)²
A = 3.14 * (5.25)²
A ≈ 86.59
5. Circle with a radius of 6.3 mm:
A = π(6.3 mm)²
A = 3.14 * (6.3 mm)²
A ≈ 124.74 mm²
6. Circle with a radius of 31/4 yd:
A = π(31/4 yd)²
A = 22/7 * (31/4 yd)²
A ≈ 754.62/7 yd²
Please note that the unit of measurement is squared to represent area.
To find the area of a circle, you can use the formula A = π * r^2, where A represents the area and r represents the radius of the circle. Since the question asks for the answer rounded to the nearest tenth, we will round the result to one decimal place.
1. Circle with a radius of 6 cm:
Using the formula, A = 3.14 * (6)^2 = 113.04 square cm. Rounded to the nearest tenth, the area is 113.0 square cm.
2. Circle with a radius of 25 in:
Using the formula, A = 3.14 * (25)^2 = 1962.5 square inches. Rounded to the nearest tenth, the area is 1962.5 square inches.
3. Circle with a radius of 11 ft:
Using the formula, A = 3.14 * (11)^2 = 380.26 square feet. Rounded to the nearest tenth, the area is 380.3 square feet.
4. Circle with a diameter of 10.5 (radius = diameter/2):
First, find the radius: Radius = 10.5/2 = 5.25
Using the formula, A = 3.14 * (5.25)^2 = 86.62 square units. Rounded to the nearest tenth, the area is 86.6 square units.
5. Circle with a radius of 6.3 mm:
Using the formula, A = 3.14 * (6.3)^2 = 124.74 square millimeters. Rounded to the nearest tenth, the area is 124.7 square millimeters.
6. Circle with a radius of 31/4 yd:
To calculate the area, we will convert the radius to a decimal:
Radius = 31/4 = 7.75 yd
Using the formula, A = 3.14 * (7.75)^2 = 188.80125 square yards. Rounded to the nearest tenth, the area is 188.8 square yards.
Remember to always double-check the units and ensure they are consistent throughout the calculations.