Home
Class 12
MATHS
The area of the largest triangle that ca...

The area of the largest triangle that can be inscribed in a semicircle of radius r is :

A

`r^(2)`

B

`r^(3)`

C

`2r^(2)`

D

`1/2r^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

The largest triangle is isosceles triangle and Area `=1/2 r^(2) xx 2 = r^(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The area of the largest triangle that can be inscribed in a semicircle of radius 6 m is

What is the area of the largest triangle that can be inscribed in a semicircle of radius r unit.

The ratio of the area of the largest triangle that can be inscribed in a circle of radius 7 cm to the area of the largest triangle that can be inscribed in semicircle of radius 7 cm is: a.   (2sqrt(3))/3 b.   (3sqrt(3))/4 c.   (2sqrt(3))/5 d.   None of these

The area of the largest triangle that can be inscribed in a semicircle of radius 4 cm in square centimeters is सबसे बड़ा त्रिभुज का क्षेत्रफल ज्ञात कीजिए जिसे 4 सेमी के त्रिज्या वाले अर्धवृत्त में अंकित किया गया है ।

Find the area of the largest triangle that can be inscribed in a semi-circle of radius 9 cm.

What is the area of the largest square that can be inscribed in a circle of radius 12 cm. ?

Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is (8)/(27) of the volume of the sphere.

What is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?