Circumradius| inradius| Circumradius and Inradius| Circumcircle and Incircle formula derivation

Circumcircle and Circumradius | incircle and inradius | Circumradius and inradius formulae derivation | ‪@Upthrust007‬

Description -

Half the distance across a circle that passes through its center is called a radius. The word radius is commonly associated with circles. When a circle and a triangle are together, there is such a thing as the radius of a triangle. What is the radius of a triangle?

There are two types of radii for triangles:

inradius: This is the radius of a circle inscribed in a triangle.
circumradius: This is the radius of the circle that is circumscribed on a triangle.

Inradius

When a circle is drawn inside a triangle, and the circle touches three tangent points on the sides of the triangle, the distance from the center to these tangent points is called the inradius of the triangle. It is an inscribed circle, and its center is called the incenter.


Circumradius

The circumradius is the distance from the vertices of the triangles to the center of the circumscribed circle. This circle is also known as the circumcircle.

How do you find the radius of a triangle?

The triangle has two types of radii: the circumradius and the inradius. The circumradius is the distance of the circumcenter to any of the vertices of the triangle. The circumcenter is the center of a circle that is drawn on the triangle that touches all three points of the triangle's vertices. The inradius, on the other hand, is the distance from the center of a circle that is inscribed in a triangle, to the tangent point on the side of a triangle that touches the circle.

What is the difference between circumcircle and circumradius?

Imagine a triangle and a circle is drawn such that all the vertices of the triangle touch the circle. This circumscribed circle is called the circumcircle. The circumradius is the distance from the center of this circle to any of the three vertices of the triangle.



#cbse #iit #jee #ncert #mathematics #class9 #indian #class10 #freeeducation #class8maths #class11maths #class12 #ncertclass12thmath #differentiation #integration #area #integralcalculus2 #integrals #integralfactor #mathematics #youtube #youtuber #youtubeshorts #youtubeshort #youtubechannel #youtubevideo #youtubevideo #youtubers #youtubeindia #youtubelearner #subscribe #subscribers #subscribetomychannel #subscriber #subscrib #support #supportme #supportmychannel #straightline #slopeofaline #slopeinterceptform #unacademy #byjus #gaganprataptalks #abhinay_sir #abhinaymaths #nvsirmotion #nvsirkota #physicswallah #allen #allenkota #alakhpandey #alakh_sir_motivation #avadhojhasir #avadhojhasirmotivation #vikashdivyakirti #khansir #khansirpatna #khansircomedy #khansirmotivationalvideo #khansirmotivation #indianhacker #mrindianhacker

Other queries-
What is Circumradius
What is inradius
Circumradius ka formula kya hai
What is formula of Circumradius
What is formula of inradius
Inradius ka formula kya hai
Circumradius kb or kaha lagaye
Inradius kab or kaha lagaye