Question:
A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it. If the area of the deck is 60 square feet, find its width.
A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it. If the area of the deck is 60 square feet, find its width.
Updated On: Jan 30, 2025
- 3 feet
- 2.8 feet
- 2 feet
- 2.5 feet
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Let r be the radius of swimming pool and R be the radius of swimming pool with deck.
Area of swimming pool with deck
\(\pi\)R2 = \(\pi\)2+60\(\pi\)
= \(\pi\)142+60\(\pi\)= 256\(\pi\)
\(\pi\)R2 = 256\(\pi\)
R=16
Width of deck = 16−14 = 2 fect.
So the correct option is (C)
Was this answer helpful?
0
0
Top Questions on Geometry
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?
- Area of a regular octagon inscribed in a circle of radius 1 unit is
- Consider a triangle with side lengths 4 meters, 6 meters, and 9 meters. A dog runs around the triangle in such a way that the shortest distance of the dog from the triangle is exactly 1 meter. The total distance covered (in meters) by the dog in one round is
- A circle of radius 13 cm touches the adjacent sides AB and BC of a square ABCD at M and N, respectively. If AB = 18 cm and the circle intersects the other two sides CD and DA at P and Q, respectively, then the area, in sq. cm, of triangle PMD is ________
- If the sum of the interior angles of a polygon is \(1260^\circ\), how many sides does it have?
View More Questions
Questions Asked in MAT exam
- Sumit can row a distance of 9 km in one hour in still water and he can now row the same distance in 45 minutes with the current. Find the total time taken by him to row 36 km with the current and return to the starting point.
- MAT - 2025
- Boat and Stream
- Five people -- Akash, Bidhan, Chandan, Dinesh, and Esha -- are sitting around a circular table. The following conditions are given:
1. Chandan is third to the right of Farooq.
2. Bidhan is second to the right of Chandan.
3. Dinesh is not sitting next to Chandan.
4. Akash is not sitting next to Bidhan
Which pair is sitting next to each other?- MAT - 2025
- Seating Arrangement
- Mohan can reach his destination on time by travelling at a speed of 54 km/hr. If one-fourth of the time, he covers \( \frac{2}{9} \) of the total distance, at what speed should the remaining distance be travelled so as to reach his destination on time?
- MAT - 2025
- Time, Speed and Distance
- A shopkeeper makes a profit of 17% by giving a discount of 22% on the marked price of an article. But with a view to gain more profit, he reduces the discount to 18% and makes a higher profit. How much is the difference in his profit percentage with this reduction in discount?
- MAT - 2025
- Profit and Loss
- Ram kumar, a trader mixes two varieties of Moong dal, totally weighing 90kg worth Rs7443. The price of the first variety that he mixes is Rs57.50 per kg and that of the second variety is Rs111.50 per kg. How much quantity of the second variety of moong dal does he mix?
- MAT - 2025
- Mixtures and Allegations
View More Questions