in the fig. given below a square oabc is inscribed in a quadrant opbq of a circle.if oa =20cm,find the area of the shaded region(use pie = 3.14)

Asked by naganshul520 | 23rd Jun, 2017, 06:47: PM

Expert Answer:

begin mathsize 16px style On space joining space ob comma space you space will space see space that space the space diagonal space of space the space square space is space equal space to space the space radius space of space the space given space circle.
Side space of space the space square equals 20 space cm
So comma space the space diagonal space of space the space square equals square root of 2 left parenthesis side right parenthesis equals square root of 2 left parenthesis 20 right parenthesis equals 20 square root of 2 space cm
So comma space radius space of space the space part space of space the space circle space is space 20 square root of 2 space cm.
Area space of space the space shaded space part
equals area space of space the space quadrant space minus space area space of space the space square
equals πr squared over 4 minus left parenthesis side right parenthesis squared
equals 1 fourth cross times 3.14 cross times open parentheses 20 square root of 2 close parentheses squared minus left parenthesis 20 right parenthesis squared
equals 628 minus 400
equals 228 space cm squared end style

Answered by Rebecca | 23rd Jun, 2017, 08:13: PM