Areas related to Circles ncert solutions Chapter 12 Exercise 12.3 Question 6
6. In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the diagram. Find the area of the design.
Given: ABC is an equilateral triangle inscribed in circle of radius 32 cm.
Construction: Draw AD
BC, OE
AB and OF
AC.
In
and
AC=AB {Sides of Equilateral triangle}
AD=AD {Common side}
Therefore, by RHS ,
Therefore,
{Corresponding angles of congruent triangles are equal} (1)
And, we have
(2)
{
is an equilateral triangle}
From (1) and (2), we have
Now, in
cm
Similarly, we have
cm
Therefore, we have side AB of equilateral
cm
Area of Equilateral
Area of Design= Area of circle-Area of Equilateral triangle=
shrikant kumar says
sir,
mai hindi govt skul se hu, sir yesa aap log kijiye na jisme ncert book ka hindi me solution ho, plz aur webside sent kard e mere id pe.
Thankingyou
your fathfully
shrikant