The circumference of a circle is calculated by the formula 2πr, where r is the radius of the circle.

In this case, we don't know the radius, but we do know that the length of minor arc AB is 4 inches and that this arc represents 45° of the circle.

Since a full circle is 360°, we can set up a proportion to find the full circumference of the circle.

The proportion is: (Length of arc AB / Circumference of the circle) = (Degree measure of arc AB / Degree measure of full circle)

Substituting the given values, we get: (4 / Circumference) = (45 / 360)

Solving this equation for the circumference, we get: Circumference = 4 * (360 / 45) = 32 inches.

So, the circumference of the circle is 32 inches.

Question

The circumference of a circle is calculated by the formula 2πr, where r is the radius of the circle.

In this case, we don't know the radius, but we do know that the length of minor arc AB is 4 inches and that this arc represents 45° of the circle.

Since a full circle is 360°, we can set up a proportion to find the full circumference of the circle.

The proportion is: (Length of arc AB / Circumference of the circle) = (Degree measure of arc AB / Degree measure of full circle)

Substituting the given values, we get: (4 / Circumference) = (45 / 360)

Solving this equation for the circumference, we get: Circumference = 4 * (360 / 45) = 32 inches.

So, the circumference of the circle is 32 inches.

Knowee AI · Accepted Answer

The circumference of a circle is calculated by the formula 2πr, where r is the radius of the circle.

In this case, we don't know the radius, but we do know that the length of minor arc AB is 4 inches and that this arc represents 45° of the circle.

Since a full circle is 360°, we can set up a proportion to find the full circumference of the circle.

The proportion is: (Length of arc AB / Circumference of the circle) = (Degree measure of arc AB / Degree measure of full circle)

Substituting the given values, we get: (4 / Circumference) = (45 / 360)

Solving this equation for the circumference, we get: Circumference = 4 * (360 / 45) = 32 inches.

So, the circumference of the circle is 32 inches.

A circle has center , and points and lie on the circle. If the degree measure of minor arc is 45° and the length of minor arc is 4 inches, what is the circumference, in inches, of the circle?