Question
Find the radius of the largest circle that can be inscribed in a square, if the rectangle of length 40cm * 20cm is constructed in the corners of the square between the space of square and circle. The three vertices lie on the square and a vertex of the circumference of the circle?
r² = (r - 40)² + (r - 20)² r² = r² + 1600 - 80r + r² + 400 - 40r r² = 2r² - 120r + 2000 r² - 120r + 2000 = 0 r² - 100r - 20r + 2000 = 0 r(r - 100) - 20(r - 100) = 0 r = 20, 100 r = 100 [20 value is not satisfied]More Mensuration Questions
- A right circular cone has a slant height of 30 cm and its curved surface area is 1,320 cm². A cylindrical vessel has radius 25% more than the cone’s radius...
- If √̅1̅2̅-̅2̅√̅3̅5̅ + √̅8̅+̅2̅√̅1̅5̅ = √a + √b, where a and b are positive integers, then the value of b – a is closest to:
- The breadth of a rectangle is increased by 7 cm, it will become twice the length of the rectangle. If the new perimeter is 348 cm, then find the original a...
- Calculate the curved surface area of a cone with a diameter of 42 cm, and a height that is 1 cm shorter than half its diameter.
- Some balls are to be distributed among some boys. If 5 more balls are available, each boy gets 8 balls. If 6 less balls are available, each boy gets 4 ball...
- The diagonal of the square is 10 √ 2 cm. Find the diagonal of another square whose area is triple that of the first square.
- A rectangular garden is 25 m long and 15 m wide. Find its area and perimeter.
- The length of a rectangle is twice its breadth. If its length is decreased by 6 cm and breadth is increased by 6 cm, the area of the rectangle is increased...
- The height of a right circular cylinder is 12m and also three times the sum of the areas of its two end faces is equal to twice the area of its curved surf...
- The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 32 cm, then find the area of ...
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)