Question

Geometry help please!

Answer 1

This is a shabby-looking example of our carnival ride. Each length from the center to the outside is 25 ft. That's what you're given.

Answer 2

They want to know the central angle, right? Do you know how a central angle is found? A circle has a measure of 360 degrees. We have 20 angles in that circle. What does one angle measure, then?

Answer 3

360/20?

Answer 4

Which comes out to; 18.

Answer 5

18 is the MEASURE of the arc which is equivalent to the central angle's measure. Now we are finding arc LENGTH. Two different thing, totally! What do you get for the arc length, then?

Answer 6

7.85

Answer 7

Which is 2.5pi.

Answer 8

Now for the area of the sector...

Answer 9

The area formula for a sector of our circle is as follows:
18/360 * pi* r^2.

Answer 10

98.17

Answer 11

Perfect! See!? It must have been my awesome drawing...

Answer 12

Ah, I didnt include the formula.