Area of Combined Shapes

Q. Find the area of the shaded region in the square of side 7 cm as given in the figure.

1. $36.5c{m}^2$
2. $28c{m}^2$
3. $11.5c{m}^2$
4. $23c{m}^2$

Q.

Four horses are tethered with equal ropes at 4 corners of a square field of side 70 m so that they just can reach one another. Find the area left ungrazed by the horses.

Q. Find the area of given figure, if the diameter BC is 14 cm and AD = 16 cm.

1. $56c{m}^2$
2. $77c{m}^2$
3. $112c{m}^2$
4. $189c{m}^2$

Q.

A polygon is drawn inside a circle of radius 7 cm.

What is the area of the shaded region (in $c{m}^2)$ if the area of the polygon is 24$\pi$ $c{m}^2$ ?

1. 

2. 

3. 

4. 

Q. Find the area of the field ABCDEFG shown in the figure, if GI, JC, FH, and GE are 1 cm, 2 cm, 4 cm, and 5 cm respectively.

1. 20 $c{m}^2$
2. 21 $c{m}^2$
3. 40 $c{m}^2$
4. 41 $c{m}^2$

Q. Find the area of the field if CD = 20 m, BE = 30 m, AI = 15 m AE = 25 m, GH = 10 m, CJ = 15 m, GF = 20 m.

1. 600 $m^2$
2. 825 $m^2$
3. 375 $m^2$
4. 450 $m^2$

Q. In given regular hexagon, if AD = 10 cm, AB = 5 cm and FB = 8.66 cm, find area of hexagon.

1. 32.49 $c{m}^2$
2. 64.95 $c{m}^2$
3. 97.43 $c{m}^2$
4. 129.9 $c{m}^2$

Q.

The area of the largest triangle with base 8cm which can be formed inside a circle of radius 5cm is ___ .

Q. If BC = 8 cm, ED = 6 cm, AF = 3 cm and AG = 7 cm, then find the area of pentagon ABEDC.

1. 12 $c{m}^2$
2. 28 $c{m}^2$
3. 40 $c{m}^2$
4. 56 $c{m}^2$

Q. Find the areas(in $c{m}^2$) of shaded regions. [Take $\pi =\frac{22}{7}$]

1. $\frac{49}{2}$
2. $\frac{35}{2}$
3. $\frac{119}{4}$

Q. Find the area of the given field. (all dimensions are in metre)

1. 165 $m^2$
2. 189 $m^2$
3. 203 $m^2$
4. 223 $m^2$

Q. ABC is the equilateral triangle inscribed in a circle of radius 4 cm with center O. Find the area of shaded region

Q.

If a circle has area $81\mathrm{\pi }$ square inches, what is the radius?

Q. Find the areas(in $c{m}^2$) of shaded regions. [Take $\pi =\frac{22}{7}$]

1. $\frac{49}{2}$
2. $\frac{35}{2}$
3. $\frac{119}{4}$