Home » Ask & Discuss » Mathematics. » Analytical Geometry « Back to Discussion

Analytical Geometry

New kid on the Block

Joined:	5 Nov 2011
Post:	5

5 Nov 2011 17:40:23 IST

1 People liked this

298

Q. Area of the triangle formed by pair of tangents and the corresponding chord of contact?

Mathematics

Q. Area of the triangle formed by pair of tangents and the corresponding chord of contact for a circle is (R is the radius of circle and L is length of tangent)

Share this article on:

Comments (1)

Manasi

Forum Expert

Joined: 1 Dec 2006

Posts: 2108

6 Feb 2012 18:13:06 IST

Like 1 people liked this

in the bigger triangle sin @ = R / (L²+ R²)^1/2 ....................(A)

cos @ = L / (L²+ R²)^1/2....................(B)

Now the area of the required triangle (the shaded area) = b X h

in smaller triangle, with angle @ .... h = L cos @ and b = L sin @

therefore, the area = L² sin @ cos @ substituting values from (A) and (B)

= RL³ / (L²+ R²)

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team