In the given figure, PQSR represents a flower bed. If OP = 21 m and OR = 14 m, find the area of the flower bed.



Asked by Topperlearning User | 27th Jul, 2017, 01:55: PM

Expert Answer:

A r e a space o f space t h e space f l o w e r space b e d space P Q S R
equals A r e a space o f space s e c t o r space O P Q space minus space A r e a space o f space s e c t o r space O R S
equals open parentheses fraction numerator theta over denominator 360 degree end fraction cross times πr subscript 1 squared space minus space fraction numerator straight theta over denominator 360 degree end fraction cross times πr subscript 2 squared close parentheses space m squared
equals fraction numerator theta over denominator 360 degree end fraction cross times pi open parentheses r subscript 1 squared minus r subscript 2 squared close parentheses
equals fraction numerator 90 degree over denominator 360 degree end fraction cross times 22 over 7 cross times open parentheses 21 squared space minus space 14 squared close parentheses
equals 1 half cross times 11 over 7 cross times 35 cross times 7
equals 385 over 2
equals 192.5 space m squared

Answered by  | 27th Jul, 2017, 03:55: PM