Math, asked by paridhi17, 6 hours ago

In the adjoining figure O is the centre of a circle if OA = 10 cm, OB = 15 cm and angle BOD = 720 then the area of shaded region is( cm2) (A) 5 (B) 10 (C) 25π (D) 35π8​

Answers

Answered by AfzanHindustaniGamer
4

bruh try yourself either ask your friends

Answered by RvChaudharY50
0

Given :- In the adjoining figure O is the centre of a circle if OA = 10 cm, OB = 15 cm and angle BOD = 72°

To Find :- Area of shaded region ?

Solution :-

We know that,

  • Area of sector = (Angle at centre/360°)πr²

So,

→ Radius of sector OAC = 10 cm

→ Angle at centre = 72°

then,

→ Area of sector OAC = (72°/360°) * π * (10)²

→ Area of sector OAC = (1/5) * π * 100

→ Area of sector OAC = 20π cm²

similarly,

→ Radius of sector OBD = 15 cm

→ Angle at centre = 72°

then,

→ Area of sector OBD = (72°/360°) * π * (15)²

→ Area of sector OBD = (1/5) * π * 225

→ Area of sector OBD = 45π cm²

therefore,

→ Shaded Area = Area of sector OBD - Area of sector OAC

→ Shaded Area = 45π - 20π

→ Shaded Area = 25π cm² (C) (Ans.)

Hence, area of shaded region is equal to 25π cm² .

Learn more :-

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