Advertisements
Advertisements
प्रश्न
Each side of a square is 44 cm. Find its perimeter. If this perimeter is equal to the circumference of a circle, find the radius of the circle.
Advertisements
उत्तर
The side of a square = 44 cm
∴ Its perimeter = 4 × Side
= 4 × 44 = 176 cm
Since, Its is given that, Circumference of a circle = Perimeter of a square
∴ Circumference of a circle = 176 cm
Let, the radius of the circle = r
⇒ 2πr = 176 cm
r = `(176xx7)/(2xx22)` = 28 cm
∴ The radius of the circle = 28 cm
APPEARS IN
संबंधित प्रश्न
Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm are drawn in the given figure. Find the area of the shaded region

In the given figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and ∠BOD = 90°. Find the area of the shaded region.

Find the angle subtended at the centre of circle of radius ‘a’ cm by an arc of length
`(api)/4` 𝑐𝑚
The base of a right – angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.
A sector of 56°, cut out from a circle, contains 17.6 cm2. Find the radius of the circle.
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
Find the radius of the circle whose circumference is equal to the sum of the circumferences of the circles having radius 15 cm and 8 cm.
Construct an angle PQR = 45°. Mark a point S on QR such that QS = 4.5 cm. Construct a circle to touch PQ at Q and also to pass through S.
Find the area and perimeter of the following semicircles: Diameter = 7cm
Find the area and perimeter of the following semicircles: Diameter = 5.6cm
