In the figure given above
ABCD is a square of side 50 m. Points
P, Q, R, S are midpoints of side AB, side BC, side CD, side AD
respectively. Find area of shaded region.
P.T.O.
Answers
Area of shaded region = 537. 5 m²
Step-by-step explanation:
ABCD is a Square of side 50 m
Area of ABCD square = 50 * 50 = 2500 m²
P, Q, R, S are midpoints of side AB, side BC, side CD, side AD
respectively
=> AP = BP = BQ = CQ = CR = DR = DS = AS = 50 /2 = 25 m
Radius of Each circle = 25 m
angle of each arc segment = 90°
Area of 4 arc segments = 4 ( 90°/360°) π r²
= 4(1/4) (π) (25)²
= 3.14 * 625
= 1,962.5 m²
Area of shaded region = 2500 - 1,962.5 = 537. 5 m²
Learn more:
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Answer:
Area of shaded region = 537. 5 m²
Step-by-step explanation:
ABCD is a Square of side 50 m
Area of ABCD square = 50 * 50 = 2500 m²
P, Q, R, S are midpoints of side AB, side BC, side CD, side AD
respectively
=> AP = BP = BQ = CQ = CR = DR = DS = AS = 50 /2 = 25 m
Radius of Each circle = 25 m
angle of each arc segment = 90°
Area of 4 arc segments = 4 ( 90°/360°) π r²
= 4(1/4) (π) (25)²
= 3.14 * 625
= 1,962.5 m²
Area of shaded region = 2500 - 1,962.5 = 537. 5 m²
Learn more:
find the area of the shaded region if PAST is square of side 14cm ...
https://brainly.in/question/7353537
in the given figure find the area of shaded region if AC is the ...
https://brainly.in/question/8348767