CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 10

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Question 26:

In figure, a square OABC is inscribed in a quadrant OPBQ. If , find the area of the shaded region.

In figure, a square OABC is inscribed in a quadrant OPBQ

In Figure, a Square OABC is Inscribed in a Quadrant OPBQ

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Answer:

Area of shaded region Area of quadrant Area of square OABC

Question 27:

AB and CD are respectively arcing of two concentric circles of radii and and centre O (see figure). If , find the area of the shaded region.

Area of Shaded Region

Area of Shaded Region

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Answer:

Area of shaded region Area of sector OAB Area of sector OCD

Question 28:

In figure, ABC is a quadrant of a circle of radius and a semicircle is drawn with BC as diameter. Find the area of the shaded region.

Pythagoras Theorem

Pythagoras Theorem

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Answer:

In right triangle [Pythagoras theorem]

Radius of the semicircle

Radius of the Semicircle

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Radius of the semicircle

Required area Area BPCQB

Area BCQB – Area BCPB

Area BCQB – (Area BACPB – Area BAC)