Question

Part of a school’s stage is shaped like a sector of a circle, as shown below. The students do not yet know the exact dimensions of this part of the stage, but they want to identify as many relationships as possible so that they will be able to decorate this part of the stage when the dimensions are available.

Answer 1

• 68.78° or 0.6 rad

Explanation:

Use the formula:

• degrees/360° = L/circumference
• or
• radians/π = L/circumference

As per given:

l = 12 feet, r = 10 feet

• degrees = 360°*12/(2*3.14*10) = 68.78°
• radians = π rad *12/(2π*10) = 0.6 rad