Advertisements
Advertisements
Question
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)

Advertisements
Solution
Radius of flower bed = `66/2` = 33 m
Radius of flower bed and path together = 33 + 4
= 37 m
Area of flower bed and path together = 3.14 × 37 × 37
= 4298.66 m2
Area of flower bed = 3.14 × 33 × 33
= 3419.46 m2
Area of path = Area of flower bed and path together − Area of flower bed
= 4298.66 − 3419.46
= 879.20 m2
APPEARS IN
RELATED QUESTIONS
In the given figure, ABCD is a rectangle of dimensions 21 cm × 14 cm. A semicircle is drawn with BC as diameter. Find the area and the perimeter of the shaded region in the figure.

A lawn is in the form of a rectangle whose sides are in the ratio 5 : 3. The area of the lawn is 3375 m2. Find the cost of fencing the lawn at ₹ 65 per metre.
A chord PQ of length 12 cm subtends an angle of 120° at the centre of a circle. Find the area of the minor segment cut off by the chord PQ.
In the following figure, ABCD is a rectangle with AB = 14 cm and BC = 7 cm. Taking DC, BC and AD as diameters, three semi-circles are drawn as shown in the figure. Find the area of the shaded region.

If the numerical value of the area of a circle is equal to the numerical value of its circumference , find its radius.
If a chord of a circle of radius 28 cm makes an angle of 90 ° at the centre, then the area of the major segment is
In the given figure, O is the centre of the bigger circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, find the area of the shaded region.

In the given figure, ABCD is a rectangle with AB = 80 cm and BC = 70 cm, ∠AED = 90° and DE = 42 cm. A semicircle is drawn, taking BC as diameter. Find the area of the shaded region.

A chord of a circle of radius 14 cm makes a right angle at the centre. Find the area of the sector.
In the following figure, a rectangle ABCD enclosed three circles. If BC = 14 cm, find the area of the shaded portion (Take π = 22/7)

