Question

Help with central angle, arc length, and area of a sector?

Answer 1

"A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars?" How do i go about this?

Answer 2

Have a look at this:

When a quadrilateral is inscribed in a circle, the opposite angles add to 180 degrees.
Therefore, angle P + angle R = 180 degrees. From the diagram,
angle P = y and angle R = 3y + 8
Therefore, y + 3y + 8 = 180
Solve for y and that will be angle P.

Answer 3

Wait, how is it a quadrilateral inscribed in a circle? I thought this was talking about sectors.

Answer 4

@ganeshie8 @amistre64 @Hero or @mathstudent55 ? :/