Question

Find the measure of the central angle of the sector that represents 64% of a circle graph. Round to the nearest degree if necessary. Show your work!!!!

Answer 1

To find the central angle of the sector that represents 64% of a circle graph, we can use the proportion:

64% (or 0.64) of the circle is to 360 degrees as x (the central angle of the sector) is to the angle we're trying to find.

Mathematically, we can write:

0.64/1 = x/360

Simplifying this expression, we get:

x = 0.64 x 360/1

x = 230.4

So the central angle of the sector that represents 64% of the circle graph is approximately 230.4 degrees. Rounded to the nearest degree, this is 230 degrees.

Explanation: