Question
A triangle has sides 7 cm, 24 cm, and 25 cm. A circle is
inscribed in the triangle. What is the area of the triangle not covered by the circle?Solution
The area of the triangle is A = (1/2) × base × height = (1/2) × 7 × 24 = 84 cm². The semiperimeter s = (7 + 24 + 25) / 2 = 28 cm. The inradius r = A / s = 84 / 28 = 3 cm. The area covered by the circle is πr² = π × 9 ≈ 28.26 cm². The remaining area = 84 - 28.26 = 55.74 cm². Correct answer: b) 55.74 cm²
Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 128˚ , then the measure of angle P is:
If perpendicular and base of a right-angle triangle are 18 cm and 24 cm respectively, then find the length of the shortest median of triangle.
The Height of a metallic hollow cylinder is 28 cm and the difference between its inner curved surface Area and outer curved Surface area is 66cm². If t...
Find the area of the sector of a circle with radius 4cm and angle 30°.
What will be the volume of a cuboid if its length is 17.5 cm, width is 10 cm, and height is 20 cm?
If base of a prism is square of side 12 cm & height is 22 cm . What is the volume of prism?
The cost of fencing a rectangular field at the rate of Rs. 4/metre is Rs. 360. If the length of the field is 13 metres more than its breadth, then find ...
A solid cylinder of radius 7 cm and height 10 cm is melted and recast into small solid cones each of radius 3.5 cm and height 8 cm. Find how many such c...
What is the difference between (in m2) the area of a circular field of radius 28 metres and area of a rectangular piece of land having its di...
Perimeter of a square is equal to perimeter of a rectangle, if area of square is 576 cm2 and length of rectangle is two times that of breadth...
