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How many times a wheel of radius 28 cm must rotate to go 352 m? (Take π = 22/7)

Given From the given details we get to know that Radius of the wheel = 28 cm Find out We have to determine the number of rotation of the... View Article

Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take π = 3.14)

Given From the given diagram Radius of inner circle = outer circle radius – 10 = 19 – 10 = 9 m Find out We have to... View Article

A circular flower garden has an area of 314 m². A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)

Given Area of the circular flower garden = 314 m2 Sprinkler at the centre of the garden can cover an area that has a radius = 12 m Find out... View Article

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? (π = 3.14)

Given From the given details we get to know that Diameter of the flower bed = 66 m Width of path =4m Find out We have to determine the area of... View Article

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take π = 3.14)

Given From the given details we get to know that Circumference of a circle = 31.4 cm Find out We have to determine the area and radius of... View Article

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 π = 3.14)

Given From the given details we get to know that Radius of circle = 2 cm Square sheet side = 6 cm Find out We have to determine the area of the... View Article

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 1cm are removed. (as shown in the adjoining figure). Find the area of the remaining sheet. (Take π = 22/7)

Given From the given details we get to know that Radius of the circular card sheet = 14 cm Radius of the two small circle = 3.5 cm Length... View Article

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 π = 22/7)

Given From the given details we get to know that Length of wire that Shazli took =44 cm Find out We have to determine after bending the... View Article

Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is ₹15/m2. (Take π = 3.14)

Given From the given details we get to know that Diameter of the circular table-top = 1.6 m Find out We have to determine the cost of... View Article

Find the perimeter of the adjoining figure, which is a semicircle including its diameter.

Given From the given details we get to know that Diameter of semi-circle = 10 cm Find out We have to determine the perimeter of the... View Article

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 meter of the lace costs ₹ 15. (Take π = 3.14)

Given From the given details we get to know that Diameter of the circular table = 1.5 m Find out We have to determine the length of the lace... View Article

From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take π = 3.14)

Given From the given details we get to know that Radius of circular sheet R = 4 cm A circle of radius to be removed r = 3 cm Find out We... View Article

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 ₹ 4 per meter. (Take π = 22/7)

Given From the given details we get to know that Diameter of the circular garden = 21 m Find out We have to determine the length of... View Article

If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take π = 22/7)

Given From the given data we get to know that Circumference of the circle = 154 m Find out We have to determine the radius and area of the... View Article

Find the area of the following circles, given that: (a) Radius = 14 mm (Take π = 22/7) (b) Diameter = 49 m (c) Radius = 5 cm

(a) Radius = 14 mm (Take π = 22/7) Solution: We are given that Radius of circle = 14 mm We know that, Area of the circle = πr2... View Article

Find the circumference of the circle with the following radius: (Take π = 22/7) (a) 14 cm (b) 28 cm (c) 21 cm

(a) 14 cm Answer We are given that Radius of circle = 14 cm We know that Circumference of the circle = 2πr = 2 × (22/7) × 14... View Article

ΔABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm (Figure). The height AD from A to BC, is 6 cm. Find the area of ΔABC. What will be the height from C to AB i.e., CE?

Solution From the given figure we note that AB = AC = 7.5 cm BC = 9 cm AD = 6cm We know that Area of ΔABC = ½ ×... View Article

ΔABC is right angled at A (Figure). AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, Find the area of ΔABC. Also find the length of AD.

Solution From the given figure we notet hat AB = 5 cm BC = 13 cm AC = 12 cm We know that, Area of the ΔABC = ½ ×... View Article

DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (Figure). If the area of the parallelogram is 1470 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL.

From the give figure we note that Area of the parallelogram = 1470 cm2 AB = 35 cm AD = 49 cm Then, We know that, Area of the... View Article

PQRS is a parallelogram (Figure). QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find: (a) The area of the parallelogram PQRS (b) QN, if PS = 8 cm

Solution From the given figure we note that SR = 12 cm QM = 7.6 cm (a) We know that, Area of the parallelogram = base × height... View Article

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