Advertisements
Advertisements
Question
The circumference of a circle is equal to the perimeter of a square. The area of the square is 484 sq.m. Find the area of the circle.
Advertisements
Solution
Let the side of the square = s and the radius of the circle = r
∴ 2πr = 4s
But, the area of the square 484m2
∴ the side of the square
= `sqrt(484)`
= 22m
⇒ 2πr
= 4 x 22 ∈ r
= 14m
The Area of a Circle with radius r = πr2
The Area of a Circle with radius 14
= π(14)2
= `(22)/(7) xx (14)^2`
= 616m2.
APPEARS IN
RELATED QUESTIONS
In Fig. 6, find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where ∠AOC = 40°. (use `pi = 22/7`)
If the perimeter of a semi-circular protractor is 66 cm, find the diameter of the protractor (Take π = 22/7).
Find the angle subtended at the centre of circle of radius ‘a’ cm by an arc of length
`(api)/4` 𝑐𝑚
A path of 8 m width runs around the outsider of a circular park whose radius is 17 m. Find the area of the path.
Find the area and perimeter of the following sector :
Radius= 6 cm, angle at the centre is 70°
Each wheel of a car is of diameter 80 cm. How many completer revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour?
The diameter of a wheel is 1.4m. How many revolutions does make in moving a distance of 2.2km?
A wire when bent in the form of a square encloses an area of 484cm2. If the same wire is bent into the form of a circle, find the area of the circle.
Diameters of different circles are given below. Find their circumference (Take π = `22/7`)
d = 56 m
Area of circular garden with diameter 8 m is ______.
