The answers are explained in solution below.
Given is a figure of a circle, we need to find the measures related to it,
The radius of outer circle = 8 cm
The radius of the inner circle = 4 cm.
1) The circumference of the outer circle = π × diameter = 16π cm
2) The circumference of the inner circle = π × diameter = 8π cm
3) The area of the outer circle = π × radius² = 64π cm²
4) The area of the inner circle = π × radius² = 16π cm²
Length of an arc = central angle / 360° × π × diameter
5) The length of arc BC = 80 / 360° × 16π = 3.5π cm
6) The length of arc ST = 80 / 360° × 8π = 1.7π cm
Area of a sector = central angle / 360° × π × radius²
7) The area of sector BPC = 80 / 360° × 64π = 14.22π cm²
8) The area of sector SPT = 80 / 360° × 16π = 3.5π cm²
9) The radian measure of angle BPC = 80° × π/180° = 4π/9
10) The radian measure of angle SPT = 80° × π/180° = 4π/9
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