I would like to give a question which
i could not solve.Rd sharma class 10
maths exercise-15.4 mensuration.
In this question we have to find the area of
the remaining (shaded) portion of the square from each
of the two opposite corners of a square of
side 8 cm, a quadrant of a circle of radius
1.4 cm is cut. Another circle of radius
4.2 cm is also cut from the center.(Use π = 22/7)
Given,
Side of the square = 8 cm
Radius of circle = 4.2 cm
Radius of the quadrant = 1.4 cm
Thus,
Area of the shaded potion = Area of square – Area of circle – 2 x Area of the quadrant
= side2 – πr2 – 2 x ½ πr2
= 82 – π(4.2)2 – 2 x ½ π(1.4)2
= 64 – 22/7(4.2 x 4.2) – 22/7(1.4 x 1.4)
= 64 – 388.08/7 – 21.56/7
= 5.48 cm2