Q11 of 36 Page 253

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

The area of the largest triangle inscribed in a semi-circle of radius 8 is ……


Given radius of semi-circle = 8 cm


For a largest triangle in semi-circle


base will be its diameter of semi-circle


height will be radius of semi-circle


so, its base = 2 × radius = 2 × 8 = 16 cm


height = 8 cm


Area of the triangle = × base × height


= × 16 × 8


= 64 cm2


So, option(c) is the correct answer.

More from this chapter

All 36 →
11

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

If the radius of a circle is increased by 10 %, then corresponding increase in the area of the circle is ………. (π = 3.14)


 11

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

If the ratio of the area of two circles is 1: 4, then the ratio of their circumference …..


 11

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

If the circumference of a circle is 44 then the length of a side of a square inscribed in the circle is ….


 11

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

The length of minute hand of a clock is 14 cm. If the minute hand moves from 2 to 11 on the circular dial, then area covered by it is cm2.