Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
The circumference of a circle exceeds diameter by 16.8 cm. Find the circumference of
circle.
The area of circle, inscribed in equilateral triangle is 154 cms2. Find the perimeter of
triangle.
Find the area of a right – angled triangle, the radius of whose, circumference measures 8 cm and the altitude drawn to the hypotenuse measures 6 cm.
The area of a minor sector of a circle is 3.85 cm2 and the measure of its central angle is 36°. Find the radius of the circle.
The diameters of the front and rear wheels of a tractor are 80 cm and 2 m respectively. Find the number of revolutions that a rear wheel makes to cover the distance which the front wheel covers is 800 revolutions.
Find the area and perimeter of the circle with the following :
Diameter = 77 cm
Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .
An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is 42 cm and each wheel makes 1200 revolutions per minute, find the speed of the train.
A circular racing track has inner circumference 528 m and outer circumference 616 m. Find the width of the track.
The diameter of the wheel of a cart is 1.05 m. How much distance will the cart cover in 1000 rotations of the wheel?
