find the area of the shaded region in figure if ABCD is a square of side 7cm and APD and BPC are semicircles
Answers
Answer:
Step-by-step explanation:
Given:
side of square(s) = 7cm
Total area of square = s^2 = 7^2 = 49cm
Area of semi circle = πr^2/2 = 3.14 x 3.5^2/2 = 19.23
Since there are two semi circles, therefore area of bot semi circles = 19.23 x 2 = 38.46
therefore,
area of shaded region = total area - area of both semi circles = 49-38.46 = 11.54 cm
ANSWER= 11.54cm
Given : ABCD is a square of side 7cm and APD and BPC are semicircles
To find : area of Shaded region
Solution:
Area of Square ABCD = Side² = 7² = 49 cm²
AD = BC = 7 cm = Diameter of Semicircle
=> Radius of Semicircle = 7/2 cm
Area of Each semicircle = (1/2)π(7/2)²
Area of both semicircle = 2 * (1/2)π(7/2)²
= π(7/2)²
using π = 22/7
= (22/7)(7/2)²
= 11 * 7 / 2
= 38.5 cm²
Area of Shaded region = area of Square - Area of both semicircle
= 49 - 38.5
= 10.5 cm²
10.5 cm² is the area of the shaded region
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