Find the area of the shaded region in fig 12.20 if radii of the two concentric circles with center O are 7 cm and 14 cm respectively and <AOC = 40°
Answers
given info : the radii of two concentric circles with center O are 7cm and 14 cm respectively and angle AOC = 40°
To find : area of shaded region shown in figure.
Solution : area of shaded region = area of sector AOC - area of sector BOD
= 40°/360° × πR² - 40°/360° × πr²
= 1/9 πR² - 1/9 πr²
= π/9 (R² - r²)
= 22/7 × 1/9 × (14² - 7²)
= 22/63 × 7 × 21
= 22/3 × 7
= 154/3
= 51.33 cm²
Therefore the area of shaded region will be 51.33 cm²
Answer:-
given info :
the radii of two concentric circles with center O are 7cm and 14 cm respectively and angle AOC = 40°
To find :
area of shaded region shown in figure.
Solution :
area of shaded region = area of sector AOC - area of sector BOD
= 40°/360° × πR² - 40°/360° × πr²
= 1/9 πR² - 1/9 πr²
= π/9 (R² - r²)
= 22/7 × 1/9 × (14² - 7²)
= 22/63 × 7 × 21
= 22/3 × 7
= 154/3
= 51.33 cm²
Therefore the area of shaded region will be 51.33 cm²
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