This is the plan of jillian's square garden. All the curved lines in the plan are parts of circles. The pond is quater circle
The centre of the garden is at O.
 
                        plan of garden
What is the area of the grass , to the nearest m squared?

Asked by shivbajaj_bkn | 12th Sep, 2014, 06:49: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space f i g u r e. space
W e space n e e d space t o space f i n d space t h e space a r e a space o f space t h e space s h a d e d space r e g i o n. F r o m space t h e space f i g u r e space i t space i s space c l e a r space t h a t space A r e space o f space t h e space r e q u i r e d space r e g i o n equals A r e a space o f space t h e space c i r c l e space w i t h space r a d i u s space 4 space m minus A r e a space o f space t h e space q u d r a n t space w i t h space r a d i u s space 4 space m plus A r e a space o f space t h e space r e g i o n space C D E F C equals straight pi cross times 4 squared minus straight pi over 4 cross times 4 squared plus open square brackets fraction numerator Area space of space the space square space with space side space 8 space straight m minus Area space of space the space circle space with space radius space 4 space straight m over denominator 4 end fraction space close square brackets equals 16 straight pi minus 4 straight pi plus open square brackets fraction numerator 8 squared minus straight pi cross times 4 squared over denominator 4 end fraction close square brackets equals 12 straight pi plus open square brackets fraction numerator 64 minus 16 straight pi over denominator 4 end fraction close square brackets equals fraction numerator 48 straight pi plus 64 minus 16 straight pi over denominator 4 end fraction equals fraction numerator 32 straight pi plus 64 over denominator 4 end fraction equals 8 straight pi plus 16 equals 41.13 space straight m squared

Answered by Vimala Ramamurthy | 14th Sep, 2014, 07:30: AM

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