Question

in a circle of radius 7 cm and R substance and angle of 60° at the centre find the area of sector

Answer 1

Question :-

In a circle of radius 7 cm the sector subtends an angle of 60° at the centre. Find the area of the sector.


Area of a sector is given as

(∅/360) × πr²

Where, ∅ = the magnitude of angle in degrees.

Here, ∅ = 60°

r = 7 cm

So, area = (60/360) × 22/7 × 7²

= 1/6 × 22/7 × 49

= 1/6 × 154

= 77/3 cm²

= 25.67 cm² (approx)

Answer 2

$\huge\bf\green {Hey \: there!}$




▶ Question - In a circle of radius 7 cm, an arc subtends at angle of 60° at the centre. Find the area of sector.




▶ Given :



i) Radius of the circle ( r ) = 7 cm



ii) An arc subtends at angle of 60° ( θ )




▶ To Find :



Area of the sector




▶ We know that :



Area of sector = θ / 360 × πr^2



= 60 / 360 × 22 / 7 × 7 × 7



= 1 / 6 × 154



= 154 / 6



= 25.6 m^2




$\large{\boxed {\boxed {\pink{\sf {Therefore, Area \: of \: sector = 25.6 \: {m}^{2} }}}}}$



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