Advertisements
Advertisements
Question
The perimeter of a square and the circumference of a circle are equal. If the length of each side of the square is 22 cm, find:
(i) perimeter of the square.
(ii) circumference of the circle.
(iii) radius of the circle.
Advertisements
Solution
(i) Side of square = 22 cm
Perimeter of square = 4 × side
= 4 × 22 = 88 cm
(ii) Circumference of circle
Given, Perimeter of square = Circumference of circle
= 88 cm
(iii) Circumference of circle = 88 cm
∴ Radius =`"C"/(2π)=(88xx7)/(2xx22)=616/44` =14 cm
APPEARS IN
RELATED QUESTIONS
In Fig. 9, is shown a sector OAP of a circle with centre O, containing ∠θ. AB is perpendicular to the radius OQ and meets OP produced at B. Prove that the perimeter of shaded region is
`r[tantheta+sectheta+(pitheta)/180-1]`

The length of minute hand of a clock is 14 cm. Find the area swept by the minute hand in one minute. (Use π = 22/7)
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 π = 3.14)
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.
The perimeter of a circular field is 242 m. The area of the field is
In a circle of radius 14 cm, an arc subtends an angle of 120° at the centre. If `sqrt(3) = 1.73` then the area of the segment of the circle is
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.
A canvas tent is in the shape of a cylinder surmounted by a conical roof. The common diameter of the cone and the cylinder is 14 m. The height of the cylindrical part is 8 m and the height of the conical roof is 4 m. Find the area of the canvas used to make the tent.
Find the area and perimeter of the following sector :
Diameter = 42 cm, angle at the centre is 100·.
Find the area and perimeter of the circles with following: Diameter = 35cm
