The sum of the interior angles of a polygon is 1620. The number of sides of the polygon must be
- 9
- 11
- 15
- 12
The Correct Option is B
Solution and Explanation
Assume the number of sides of the polygon be \(n\)
The Sum of interior angles of any polygon = \((n - 2) ×180 = 1620\)
= \(n - 2 = \frac{1620}{180}\)
= \(n - 2 = 9\)
= \(n = 11\)
So, The number of sides of the polygon is 11
The correct option is (B): 11
Top Questions on Mensuration
From one face of a solid cube of side 14 cm, the largest possible cone is carved out. Find the volume and surface area of the remaining solid.
Use $\pi = \dfrac{22}{7}, \sqrt{5} = 2.2$- CBSE Class X - 2025
- Mathematics
- Mensuration
The radius of a circle with centre 'P' is 10 cm. If chord AB of the circle subtends a right angle at P, find area of minor sector by using the following activity. (\(\pi = 3.14\))
Activity :
r = 10 cm, \(\theta\) = 90\(^\circ\), \(\pi\) = 3.14.
A(P-AXB) = \(\frac{\theta}{360} \times \boxed{\phantom{\pi r^2}}\) = \(\frac{\boxed{\phantom{90}}}{360} \times 3.14 \times 10^2\) = \(\frac{1}{4} \times \boxed{\phantom{314}}\) <br>
A(P-AXB) = \(\boxed{\phantom{78.5}}\) sq. cm.
- The radii of the circular ends of a frustum of a cone are 14 cm and 8 cm. If the height of the frustum is 8 cm, find: (\(\pi = 3.14\))
(i) Curved surface area of frustum.
(ii) Total surface area of the frustum.
(iii) Volume of the frustum. - How many solid cylinders of radius 10 cm and height 6 cm can be made by melting a solid sphere of radius 30 cm?
- If radius of cone is 5 cm and its perpendicular height is 12 cm, then the slant height is ...................... .
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