The area of largest triangle that can be inscribed in a semicircle of radius R cm is__________?

Related Mcqs:

1. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?

   A. 25 cm2
   B. 42 cm2
   C. 49 cm2
   D. None of these

2. Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is:________?

   A. x/2
   B. x
   C. 2x
   D. 4x

3. The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?

   A. 23.57 cm
   B. 47.14 cm
   C. 84.92 cm
   D. 94.94 cm

4. The area of a circle is increased by 22Sq.cm when it’s radius is increased by 1cm. The original radius of the circle is_________?

   A. 6cm
   B. 3.2 cm
   C. 3 cm
   D. 3.5 cm

5. The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the largest side.

   A. 45 cm
   B. 40 cm
   C. 36 cm
   D. 27 cm

6. There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?

   A. 12 π cm
   B. 16 π cm
   C. 24 π cm
   D. 32 π cm

7. A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

   A. 45 cm
   B. 18 cm
   C. 90 cm
   D. None of these

8. The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

   A. 140
   B. 156
   C. 175
   D. 214

9. If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm²) is________?

   A. 100π
   B. 7π
   C. 60π
   D. 50π

10. How many shots of 1cm radius can be prepared from a sphere of 3cm radius?

    A. 36
    B. 64
    C. 27
    D. 16