Area of Mixed Shapes

Q.

Question 10

From a circular card sheet of radius 14 cm. Two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed (as shown in the adjoining figure). Find the area of the remaining sheet. $(Take\pi =\frac{22}{7})$

Q. The circumference of a circle exceeds its diameter by $180$ cm. Then the area of the circle

1. $2772$ $c{m}^2$
2. $5544$ $c{m}^2$
3. $1848$ $c{m}^2$
4. $4984$ $c{m}^2$

Q. The given figure is a polygon.

1. True
2. False

Q.

There is a square park in the society. The management wants to put a circular fountain at the centre of the park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is Rs. 20 per $m^2$ and the cost of constructing the fountain is 10 per $m^2$ . Find the length of the field if the total cost incurred is Rs.6460 .( Use π = 22/7)

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Q. The given figure is a polygon.

1. True
2. False

Q.

Find the area of the shaded part in the figure given below. (Take $\pi$ = $\frac{22}{7}$)(All the dimensions are in cm)

1. 11 cm${}^2$

2. 10.5 cm${}^2$

3. 9.5 cm${}^2$

4. 11.5 cm${}^2$