Calculate the area of shaded part of the figure given below
Answers
Answer:
507.698
Step-by-step explanation:
Area of ACBF = l × b = 25 × 19.1 = 477.5
Area of BDGE = l × b = 25 × 12.3 = 307.5
Area of ACBD or EGFH = Area of ACHF - Area of BDGE = 477.5 - 307.5 = 170
LCH Or AKF is a semicircle and It's diameter is CH and AF respectively.
Area of CLH or AKF = πr²/2 = 45.60125 * π [cm²] ≈ 143.26 [cm²]
Area of smaller semicircle = πr²/2 = 18.91125 * π [cm²] ≈ 59.411 [cm²]
Area of shaded part of AKF or CLH = 143.26 - 59.411 = 83.849
Total Area of Shaded part = Area of shaded part of AKF + Area of ACBD + Area of EGHF + Area of shaded part of CLH
= 83.849 + 170 + 170 + 83.849
= 507.698
Answer:
337.77m^2
Explanation:
Sol:
Shaded area= area of rectangle
ACBD + area rectangle EFGH area semi circle
( or)
Ring AKFEB + area of semi circle
(or)
Ring HLCDG
= Area of rectangle = ACBD = 25m × 3.4= 85m^2
= Area of rectangle = EFGH = 25m × 3.4 = 85m^2
= Area of semi circle (or) Ring = π/2(R^2-r^2)
= 22/7 × 1/2 (9.55)^2 - (6.15)^2
= (25 × 3.4)+ (25×3.4) + 1/2π (9.55)^2
= (6.15)^2 + 1/2π (9.55)^2 - [(16.15)]
= 85+85+22/7×15.7×3.4m^2
= 170m^2+167.77m^2
=337.77m^2