Question

find the area of a sector of circle of radius 28cm and central angle 45°​

Answer 1

✭ Appropriate Question :

• find the area of a sector of circle of radius 28cm and central angle 45°

✭ Required Solution :

✩ Formula used here :

• Area of sector of circle = πr²/360 × θ

✭ Values given to us :

• Radius (r) = 28cm

• Central Angle (θ) = 45°

✭ Putting in formula :

• Area of sector = 22/7 × (28) ²/ 360 × 45°

• 22 × 28 × 28 / 7 × 45° /360 cm

• 22 × 4 × 28 × 1/8 cm

• 22 × 14 cm

• Area of sector of circle = 308 cm²

✩ Area of sector of circle = 308 cm²✩

✩ Note :-

• Required Diagram is in attachment ! :D

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Answer 2

Answer:

Given :-

• A circle of radius 28 cm and central angle 45°.

Find Out :-

• Area of sector.

Solution :-

We know that,

◘ Area of sector = πr²/360 × θ

Then,

• Radius = 28 cm
• Central angle = 45°

By substituting the formula we get,

➻ Area of sector of circle = 22/7 × (28)²/360 × 45°

➻ Area of sector of circle = 22/7 × 784/360 × 45°

➻ Area of sector of circle = 22/7 × 196/90 × 45°

➻ Area of sector of circle = 22/7 × 98

➻ Area of sector of circle = 22 × 14

➠ Area of sector of circle = 308 cm²

∴ Area of sector of circle is 308 cm².