A circle with radius of 3cm sits inside a circle with radius of 5cm. What is the area of the shaded region? Round your final ans
wer to the nearest hundredth.
2 answers:
Answer:
Area of the colored section = 50.29 cm²
Step-by-step explanation: .
The picture below illustrate the how the smaller circle sit inside the bigger circle. The colored region is the what we are after . The area of the colored region is the subtraction of the area of the smaller circle from the bigger circle.
Area of circle = πr²
Area of the inside circle = π ×3²
Area of the inside circle = 9π
Area of the outer circle = πr²
Area of the outer circle = π × 5²
Area of the outer circle = 25π
Area of the colored section = 25π - 9π
Area of the colored section = 16 × 22/7
Area of the colored section = 352/7
Area of the colored section = 50.28571429
Area of the colored section = 50.29 cm²
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