In the given figure, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. [Use π = 3.14]
Answers
Answered by
146
HERE IS THE SOLUTION FOR YOUR QUESTION;
◆There is the image of your's question figure◆
Here is the SOLUTION;
In ΔOAB,
OB2 = OA2 + AB2
= (20)2 + (20)2
Radius (r) of circle
Area of quadrant OPBQ
Area of OABC = (Side)2 = (20)2 = 400 cm2
Area of shaded region = Area of quadrant OPBQ − Area of OABC
= (628 − 400) cm2
= 228 cm2
◆There is the image of your's question figure◆
Here is the SOLUTION;
In ΔOAB,
OB2 = OA2 + AB2
= (20)2 + (20)2
Radius (r) of circle
Area of quadrant OPBQ
Area of OABC = (Side)2 = (20)2 = 400 cm2
Area of shaded region = Area of quadrant OPBQ − Area of OABC
= (628 − 400) cm2
= 228 cm2
Attachments:
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Answered by
84
Answer:
228 cm²
Step-by-step explanation:
area of the square =20*20=400 cm²
area of the quadrant =1/4*3.14*20*20*2
=3.14*200
=628cm²
required area =628-400=228cm²
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