Find the area of a circle with a diameter of 10.2 cm (round to tenth and put units)
show work
The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius.
Given that the diameter of the circle is 10.2 cm, we can find the radius by dividing the diameter by 2:
radius = diameter/2 = 10.2 cm / 2 = 5.1 cm
Now we can calculate the area using the formula:
A = πr^2
A = π(5.1 cm)^2
Using the approximation π ≈ 3.14:
A ≈ 3.14 * (5.1 cm)^2
A ≈ 3.14 * 26.01 cm^2
Rounding to the nearest tenth:
A ≈ 81.6 cm^2
Therefore, the area of the circle with a diameter of 10.2 cm is approximately 81.6 cm².