It seems like there's some information missing from your question. However, I'll provide a general method for finding the length of a major arc.

1. First, you need to find the measure of the arc DFE. Since the measure of ∠DCE is given as 130°, the measure of the minor arc DE is also 130° (because the measure of an arc is equal to the measure of its central angle). The entire circle is 360°, so the measure of the major arc DFE is 360° - 130° = 230°.

2. Next, you need to find the circumference of the entire circle. The formula for the circumference of a circle is 2πr, where r is the radius. Given that the radius of the circle is 4 in, the circumference is 2π(4 in) = 8π in.

3. Finally, to find the length of the major arc DFE, you need to take the measure of the arc DFE (230°) as a fraction of the total circle (360°), and multiply it by the circumference. So, the length of the major arc DFE is (230°/360°) * 8π in ≈ 5.12π in.

Please note that this is an approximate value. The exact length of the major arc DFE is 230/360 * 8π in.

Question

It seems like there's some information missing from your question. However, I'll provide a general method for finding the length of a major arc.

1. First, you need to find the measure of the arc DFE. Since the measure of ∠DCE is given as 130°, the measure of the minor arc DE is also 130° (because the measure of an arc is equal to the measure of its central angle). The entire circle is 360°, so the measure of the major arc DFE is 360° - 130° = 230°.

2. Next, you need to find the circumference of the entire circle. The formula for the circumference of a circle is 2πr, where r is the radius. Given that the radius of the circle is 4 in, the circumference is 2π(4 in) = 8π in.

3. Finally, to find the length of the major arc DFE, you need to take the measure of the arc DFE (230°) as a fraction of the total circle (360°), and multiply it by the circumference. So, the length of the major arc DFE is (230°/360°) * 8π in ≈ 5.12π in.

Please note that this is an approximate value. The exact length of the major arc DFE is 230/360 * 8π in.

Knowee AI · Accepted Answer

It seems like there's some information missing from your question. However, I'll provide a general method for finding the length of a major arc.

1. First, you need to find the measure of the arc DFE. Since the measure of ∠DCE is given as 130°, the measure of the minor arc DE is also 130° (because the measure of an arc is equal to the measure of its central angle). The entire circle is 360°, so the measure of the major arc DFE is 360° - 130° = 230°.

2. Next, you need to find the circumference of the entire circle. The formula for the circumference of a circle is 2πr, where r is the radius. Given that the radius of the circle is 4 in, the circumference is 2π(4 in) = 8π in.

3. Finally, to find the length of the major arc DFE, you need to take the measure of the arc DFE (230°) as a fraction of the total circle (360°), and multiply it by the circumference. So, the length of the major arc DFE is (230°/360°) * 8π in ≈ 5.12π in.

Please note that this is an approximate value. The exact length of the major arc DFE is 230/360 * 8π in.

The circle below has center C, and its radius is 4in. Given that =m∠DCE130°, find the length of the major arc DFE.Give an exact answer in terms of π, and be sure to include the correct unit in your answer.

Question

Solution

Similar Questions

Upgrade your grade with Knowee