Three horses are grazing within a semi-circular field. In the diagram given below, AB is thediameter of the semi -circular field with centre at O. Horses are tied up at P, R and S such that PO and RO are the radii of semi -circles with centers at P and R respectively, and S is the centre of the circle touching the two semi -circles with diameters AO and OB. The horses tied at P and R can graze within the respective semi -circles and the horse tied at S can graze within the circle centred at S. The percentage of the area of the semi-circle with diameter AB that cannot be grazed by the horses is nearest to [/uploads/5144c976-2f10-448b-b21f-1d19b6129cdf-OP2.bmp]

Three horses are grazing within a semi-circular field. In the diagram given below, AB is thediameter of the semi -circular field with centre at O. Horses are tied up at P, R and S such that PO and RO are the radii of semi -circles with centers at P and R respectively, and S is the centre of the circle touching the two semi -circles with diameters AO and OB. The horses tied at P and R can graze within the respective semi -circles and the horse tied at S can graze within the circle centred at S. The percentage of the area of the semi-circle with diameter AB that cannot be grazed by the horses is nearest to

A.
20
B.
28
C.
36
D.
40

Correct Answer : B

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