Geometry

Circles

Medium

The area of a circular playground is $22176 \ cm^2$ . What is the cost of fencing this ground at the rate of ₹50 per metre?

₹ 264

₹ 400

₹ 312

₹ 244

✅ Correct Option: 1

"Fencing the ground" means applying fences at only the edges of the ground, i.e the perimeter, or circumference, as we call it for the circle.

Area = $22176$ $cm^2 = \pi r^2$

$22176 = \pi r^2$

$r^2 = \frac{22176}{\pi}$

$r^2 = 7056$

$r = 84$ cm

Circumference = $2\pi r$ = $2\pi × 84$ cm

$= 528$ cm

$= 5.28$ meters

Cost = $5.28 × ₹50$

$= ₹264$

Therefore, the cost of fencing is $₹264$

JIPMAT 2023

If the difference between the circumference and radius of a circle is 37 cm, using π = 22/7, what is the circumference (in cm) of the circle?

JIPMAT 2023

Which of the following statements are True in the context of circles?

A. A tangent of a circle touches it at two points.
B. A circle can have two parallel tangents at the most.
C. There is no tangent to a circle passing through a point inside the circle.

Choose the correct answer from the options given below:

JIPMAT 2023

The area of the circle that can be inscribed in a square of side 6 cm is:

JIPMAT 2022

If the radius of each of four outer circles is $r$ , then the radius of the innermost circle is

JIPMAT 2022

The equation of the circle which passes through the point $(4,5)$ and its centre at $(2,2)$ is

JIPMAT 2021

The radius of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle. BD is tangent to the smaller circle touching it at D. The length AD is.

The area of a circular playground is 22176 cm222176 \ cm^222176 cm2. What is the cost of fencing this ground at the rate of ₹50 per metre?

Solution

Related questions:

Keyboard Shortcuts

JIPMAT Past Year Questions (Topic-Wise)

The area of a circular playground is $22176 \ cm^2$ . What is the cost of fencing this ground at the rate of ₹50 per metre?