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A circle is inscribed in an equilateral triangle `A B C` is side 12 cm, touching its sides (Fig. 15.79). Find the radius of the inscribed circle and the area of the shaded part. (FIGURE)

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RD SHARMA-AREAS RELATED TO CIRCLES-All Questions
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  2. In Fig. 15.77, P Q R S is a square of side 4 cm. Find the area of t...

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  3. A circle is inscribed in an equilateral triangle A B C is side 1...

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  4. In Fig. 15.80, an equilateral triangle A B C of side 6 cm has been ...

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  5. A circular field has a perimeter of 650 m. A square plot having its...

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  6. In Fig. 15.82, A B C D is a rectangle, having A B=20\ c m and B C=1...

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  7. The diameter of a coin is 1 cm (Fig. 15.83). If four such coins be ...

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  8. From a circular piece of cardboard of radius 3 cm two sectors of 90^@ ...

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  9. The area of a sector is one-twelfth that of the complete circle. Fi...

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  10. The radius of a circle with centre O is 5 cm. (Fig. 15.84). Two rad...

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  11. A B C D E F is a regular hexagon with centre O (Fig. 15.85). If ...

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  12. Find the area enclosed between two concentric circles of radii 3.5 ...

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  13. A path of 4 m width runs round a semi-circular grassy plot whose circu...

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  14. Fig. 15.87, shows the cross-section of railway tunnel. The radius O...

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  15. In Fig. 15.90, O is the centre of a circular arc and A O B is a ...

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  16. In Fig. 15.92, two circles with centres A and B touch each other at...

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  17. In Fig. 15.93, A B C D is a rectangle with A B=14\ c m and B C=7\ c...

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  18. In Fig. 15.95, the boundary of the shaded region consists of four s...

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  19. In Fig. 15.98, A B C is a right angled triangle in which /A=90o , A...

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  20. In Fig. 15.99, a square O A B C is inscribed in a quadrant O P B Q ...

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