Neha Tyagi and Amit Rastogi Solutions for Chapter: Areas Related to Circles, Exercise 3: Exercise

Find the area of the shaded region in figure. 

Find the area of the minor segment of a circle of radius $14 \mathrm{cm}$, when the angle of the corresponding sector is $60°$

Find the area of the shaded region in figure, where arcs drawn with centres  $A, B, C \mathrm{and} D$ intersect in pairs at mid-point $P,Q,R \mathrm{and} S$ of the sides $AB, BC, CD \mathrm{and} DA,$respectively of a square $ABCD$(use $\mathrm{\pi }=3.14$)

In figure arcs are drawn by taking vertices $A, B$ and $C$ of an equilateral triangle of side $10 \mathrm{cm}$, To intersect the sides $BC, CA$ and $AB$ at their respective mid-points $D, E$and $F$. Find the area of the shaded region. (use $\mathrm{\pi }=3.14$)

In figure, arcs have been drawn with radii $14 \mathrm{cm}$ each and with centres $P,Q$and $R$. Find the area of the shaded region

A circular park is surrounded by a road $21 \mathrm{m}$wide. If the radius of the park is $105 \mathrm{m}$, then find the area of the road.  

In figure, arcs have been down of radius $21 \mathrm{cm}$ each with vertices $A, B, C$ and $D$ of quadrilateral $ABCD$ as centres. Find the area of the shaded region. 

A piece of wire$20 \mathrm{cm}$ long is bent into form of an arc of a circle, subtending an angle of $60°$at its centre. Find the radius of the circle.