    Question

# In the given fig, the cross type figure is divided into five squares.The side of each square is 2 cm, then find the radius of the circle and also the area of portion between circle and cross type figure(Take π 3.14). A
10 cm, 11.40 cm2
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B
11 cm, 12.40 cm2
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C
12 cm, 10.40 cm2
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D
None of these
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Solution

## The correct option is A √10 cm, 11.40 cm2If a circle passes through 4 vertices of rectangle then the diagonal is equal to the diameter of the circle.In △ABC,∠B=90BC=(2+2+2) =6cm AB=2cm AC2=AB2+BC2=>AC2=22+62 =4+36 =40 =2√10 AC=diameter of the circleTherefore,Radius=2√102 =√10cmArea of a circle=πr2 =3.14×(√10)2 =3.14×10 =31.4cm2Area of cross type figure=Area of 5 squares =5×2×2 =20sqcmArea of portion between circle and cross type figure=Area of circle-Area of cross type figure =3.14−20 =11.4cm2Therefore,Radius of circle=√10cm Area of portion between circle and cross type figure =11.4cm2  Suggest Corrections  0      Similar questions  Related Videos   Basics
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