Question

Arc of circle having l=20 cm and radius of circle=3 cm then find the area of sector.​

Answer 1

Answer:

60cm*2

Step-by-step explanation:

radius =6cm

arc length =20cm

find the circumference:

circumference = 2pi r

area = pi r square = 36 pi cm*2

arc length = 20 cm

area of sector = arc length÷circumference×area

20÷12 pi×36 pi

Answer=60cm*2

Answer 2

The area of sector is 60 cm²

Step-by-step explanation:

Arc of circle, l = 20 cm

(If arc length is 20 cm then radius 3 cm can't be possible)

Assumption Radius of circle, r = 6 cm

$\theta=\dfrac{l}{r}$

$\theta=\dfrac{20}{6}$

Change Ф into degree

$\theta=\dfrac{20}{6}\times \dfrac{180^\circ}{\pi}$

$\theta=191^\circ$

Area of sector, $A=\dfrac{\theta}{360^\circ}\times \pi r^2$

$A=\dfrac{191^\circ}{360^\circ}\times \pi \times 6^2$

$A\approx 60\ cm^2$

hence, the area of sector is 60 cm²

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