Question

Find the area of the sector of a circle with radius 14cm and angle 90°. Also find the area of the corresponding major sector. (π=22/7)​

Answer 1

Answer:

We have,

Radius of circle=14cm.

Length of arc=22cm.

Using formula,

Angle=

arc

radius

Now,

Angle=

14

22

Angle=

2×7

22

Angle=

2

π

(π=

7

22

)

Angle=θ=

2

π

So,

Area of sector =

360

o

θ

×πr

2

=

360

o

90

o

×

7

22

×14×14

=

4

1

×22×2×14

=22×7

=154sq.cm.

Hence, this is the answer.

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Answer 2

Step-by-step explanation:

r = 14 cm

Φ = 90°

Area of minor sector = Φ / 360 π r²

= 1/4 (22/7) 14 (14)

= 154 cm²

Area of major sector = 270 /360 (22/7) 14(14)

= 462 cm²