Find the areas(in cm2) of shaded regions. [Take π=227]
A
492
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
352
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1194
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
First figure is a rectangle with a circle inscribed in it. Area of the shaded region = Area of the rectangle − Area of the circle. Area of the rectangle =8×7=56cm2 Area of the circle =π×72×72 =227×72×72=772cm2 ⇒ Area of the shaded region =56−772=352cm2
Second figure is a rectangle with four quarter circles inscribed in it. Area of the shaded region = Area of the rectangle - (4× Area of one quarter circle) Area of rectangle =9×7=63cm2 Area of four quarter circles =4×14×π×72×72=772cm2 ⇒ Area of the shaded region =63−772=492cm2
Third figure is a square with a semicircle inscribed in it. Area of the shaded region = Area of the square − Area of the semi-circle. Area of the square =7×7=49cm2 Area of the semi-circle =12×π×72×72=774cm2 ⇒ Area of the shaded region =49−774=1194cm2