Area of Shaded Region

Q. If ABCD is a square of 28 cm and APD and BPC are semi-circles, the area of shaded region in the given figure is .

1. $250c{m}^2$
2. $170c{m}^2$
3. $200c{m}^2$
4. $168c{m}^2$

Q. A circle of radius 7.5 is inscribed in a square, then the area of shaded region is ($\pi =3.14$)

1. $48.375c{m}^2$
2. $49.375c{m}^2$
3. $48.573c{m}^2$

Q.

A stadium is in circular shape. Within the stadium some areas have been allotted for a hockey court and a javelin range, as given in the figure. Assume the shape of the hockey court and the javelin range to be square and triangle, resp. The curators would like to accommodate a few more sports in the stadium. Help them by measuring the unallocated region within the stadium (the radius of the stadium is 200 mts.).

1. 22853.14 m²

2. 22857.14 m²

3. 20000 m²

4. 62857.14 m²

Q.

A circular plot has perimeter of 660 m. A plot in the shape of a square having its vertices on the circumference of the field is marked in the field. Calculate the area of the square field.

1. 244 m²

2. 225 m²

3. 144 m²

4. 110 m²

Q. ABCD is a square of side 21 cm, DPBA and DQBC are quadrants of circles each of the radius 21 cm, the area of shaded region in the given figure is .

1. $252c{m}^2$
2. $262c{m}^2$
3. $352c{m}^2$

Q.

Area of the shaded portion in the following figure is equal to area of .
.

1. False
2. \N
3. \N
4. True

Q.

Find the area of the shaded region in Fig, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

1. $24c{m}^2$

2. $42c{m}^2$

3. $36c{m}^2$

4. $52c{m}^2$

Q.

Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

1. $82c{m}^2$

2. $36c{m}^2$

3. $54c{m}^2$

4. $42c{m}^2$

Q. A circle of radius 8 cm is inscribed in a square, then the area of shaded region is .($\pi =3.14$)

1. $55.04c{m}^2$
2. $65.04c{m}^2$
3. $58.04c{m}^2$

Q. If two circles each of radii 14 cm intersect and $\angle AOP=45°$​, then the area of shaded region in the given figure is .

1. $56sq.cm$
2. $112sq.cm$
3. $132.5\pi sq.cm$
4. $156sq.cm$

Q. A circle is cut into 16 equal sectors and the sectors are arranged as shown below.


The given figure can be visualised as

1. Square
2. Hexagon
3. None of these
4. Rectangle

Q.

From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig.Find the area of the remaining portion of the square.

1. $\frac{36}{7}c{m}^2$

2. $\frac{68}{9}c{m}^2$

3. $\frac{58}{7}c{m}^2$

4. $\frac{68}{7}c{m}^2$

Q. The area of shaded region in the given figure is $c{m}^2.$

1. $\frac{130}{4}$
2. $\frac{119}{2}$
3. $\frac{119}{4}$

Q. Identify the figures having the same area.

1. 
2. 
3. 
4. 
5. 
6. 

Q. The areas of the region shaded in blue in the given figures are equal.

1. False
2. True

Q.

The Yin-Yang symbol can be explained with the following dimensions. What would be area covered by the Yin (black) region. The radius of the larger circle is, R = 8 cm.

1. 97.75 cm²

2. 94.54 cm²

3. 100.57 cm²

4. 98.12 cm²