the circumference of a circle is 4 inches. Find the radius and area..
c = 2πr = 8π
a = πr^2 = 16π
To find the radius and area of a circle given its circumference, we can use the following formulas:
Circumference = 2 * π * radius
Area = π * radius^2
Given that the circumference of the circle is 4 inches, we can start by finding the radius using the formula for circumference:
4 = 2 * π * radius
To find the radius, we can rearrange the equation:
radius = 4 / (2 * π)
radius ≈ 0.6366 inches
Now that we have the radius, we can find the area by using the formula:
Area = π * radius^2
Substituting the value of the radius, we get:
Area = π * (0.6366 inches)^2
Calculating the value:
Area ≈ 1.2732 square inches
So, the radius of the circle is approximately 0.6366 inches and the area is approximately 1.2732 square inches.