Q11 of 52 Page 154

The area of a minor sector of a circle is 3.85 cm2 and the measure of its central angle is 36°. Find the radius of the circle.

As we know that,



Given area of sector, A = 3.85 sq.cm


Radius of circle= r


Central angle, θ = 36°



On substituting the values, we get,


⇒ r = 3.5 cm


∴ Radius of circle is 3.5 cm


More from this chapter

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9

In figure 7.34, if A(P-ABC) = 154 cm2radius of the circle is 14cm, find

(1) ∠ APC.


(2) l (arc ABC).


 10

Radius of a sector of a circle is 7 cm. If measure of arc of the sector is –

(l) 30°


(ll) 210°


(lll) three right angles


Find the area of sector in each case.

 12

In figure 7.35, □PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y and z.

 13

∆ LMN is an equilateral triangle. LM = 14 cm. As shown in figure, three sectors are drawn with vertices as centre and radius7 cm. Find,


(1) A (Δ LMN)


(2) Area of any one of the sectors


(3) Total area of all three sectors


(4) Area of shaded region