Question

Geometry// Find the measure of arc CD. Please explain ! Brainliest given!

Answer 1

Answer:

60°

Step-by-step explanation:

Assuming the dot is the center of the circle, all sides of the triangle appear to be equal (i.e., 7). This means all its angles must be 60° (180° divided equally), so the angle is 60°.

Answer 2

Answer:

$m\widehat{CD}=60^{\circ}$

Step-by-step explanation:

We have been given a circle. We are asked to find the measure of arc CD for our given circle.

We can see that radius of our given circle is 7 units. We can also see that length of segment CD is 7 units as well.

Since radii of circle are equal, so third side of triangle will be 7 units as well.

Our given triangle is an equilateral triangle as all sides are equal. So measure of each angle will be 60 degrees.

We know that measure of central angle is equal to its intercepted arc. We can see that arc CD intercepts to central angle of 60 degrees, therefore, measure of arc CD is 60 degrees as well.