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Answer :

Given: Radius of the circular sheet = 14 cm

\(\therefore Area = \pi r^2 =\frac{22}{7} × 14 × 14 cm^2
= 616 cm^2 \)

Area of 2 small circles \( = 2 × \pi × r^2 \)

\( = 2 × \frac{22}{7} × 3.5 × 3.5 cm^2 \)
= 77.0 \( cm^2 \)

Area of the rectangle = l × b

=\( 3 × 1 cm^2 = 3 cm^2 \)

Area of the remaining sheet after removing the 2 circles and 1 rectangle

= \( 616 cm^2 – (77 + 3) cm^2 \)

= \( 616 cm^2 – 80 cm^2 = 536 cm^2 \)

- Q.1 Find the circumference of the circles with the following radius. (Take \(\pi =\frac{22}{7} \)) (a) 14 cm (b) 28 mm (c) 21 cm
- Q.2 Find the area of the following circles, given that (Take \(\pi =\frac{22}{7} \)) (a) radius = 14 mm (b) diameter = 49 m (c) radius = 5 cm
- Q.3 If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take \(\pi =\frac{22}{7} \))
- Q.4 A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs Rs. 4 per meter. (Take \(\pi = \frac{22}{7} \))
- Q.5 From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take \(\pi \)= 3.14)
- Q.6 Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one metre of the lace costs Rs.15. (Take \(\pi \)= 3.14)
- Q.7 Find the perimeter of the adjoining figure, which is a semicircle including its diameter.
- Q.8 Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs.15\( m^2. (Take \pi = 3.14) \)
- Q.9 Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take \(\pi =\frac{22}{7} \))
- Q.11 A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take \(\pi = 3.14)
- Q.12 The circumference of a circle is 31.4 cm. Find the radius and the area of the circle. (Take \(\pi \) = 3.14)
- Q.13 A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? (Take \(\pi \) = 3.14)
- Q.14 A circular flower garden has an area of\( 314 m^2. \) A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler can water the entire garden? [Take\(\pi \) = 3.14]
- Q.15 Find the circumference of the inner and the outer circles, shown in the given figure. (Take \(\pi \)= 3.14)
- Q.16 How many times a wheel of radius 28 cm must rotate to go 352 m? (Take\( \pi =\frac{22}{7} \))
- Q.17 The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour? (Take \(\pi \) = 3.14)

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