A circle fits inside a semicircle of diameter 24mm. Calculate the shaded area. Give your answer to 3 significant figures and state its units.
Answers
Given : A circle fits inside a semicircle of diameter 24mm
To find : the shaded area
Solution:
Diameter of SemiCircle = 24 mm
hence Radius of Semicircle = 24/2 = 12 mm
Area of Semi Circle = (1/2) π (12)² = 72π mm²
Diameter Of Circle = Radius of Semicircle
Hence Radius of Circle = 12/2 = 6 mm
Area of Circle = π (6)² = 36π mm²
Area of Shaded region = Area of SemiCircle - Area of Circle
= 72π - 36π
= 36π mm²
using π = 3.14
= 113.04 mm²
the shaded area = 113.04 mm²
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Step-by-step explanation:
Given A circle fits inside a semicircle of diameter 24 mm. Calculate the shaded area. Give your answer to 3 significant figures and state its units.
- Given A circle fits inside a semicircle of diameter 24 mm. Calculate the shaded area.
- Area of a circle = π r^2
- Since it is a semi-circle it will be = π r^2 / 2
- = π (12) (12) / 2
- = π 72
- = 72 x 3.14
- = 226.285 cm^2
- Now the radius of semi-circle is the diameter of the inscribed circle. Therefore radius of inscribed circle is 12 / 2 = 6
- Area of inscribed circle is π r^2
- = π (6)^2
- = 36 x 22/7
- = 113.142 cm^2
- Therefore the shaded area will be 226.08 – 113.04 = 113.142 cm^2
Reference link will be
https://brainly.in/question/17203325