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The angles of a triangle are in AP and t...

The angles of a triangle are in AP and the ratio of the number of degrees in the least to the number of radians in the greatest is `60:pi`. Find the angles in degree and radians.

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To solve the problem, we need to find the angles of a triangle that are in arithmetic progression (AP) and satisfy a given ratio condition. Let's break down the solution step by step. ### Step 1: Define the Angles Let the three angles of the triangle be: - \( A - D \) (the smallest angle) - \( A \) (the middle angle) - \( A + D \) (the largest angle) ...
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RS AGGARWAL-MEASUREMENT OF ANGLES-Exercise 14
  1. The angles of a triangle are in AP and the ratio of the number of degr...

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  2. Using a protractor, draw each of the following angles. (i) 60^(@), (...

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  3. Express each of the following angles in radians. (i) 36^(@) , (ii) 1...

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  4. Express each of the following angles in degrees. (i) ((5pi)/12)^(c )...

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  5. The angles of a triangle are in AP and the greatest is double the leas...

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  6. The difference between the two acute angles of a right triangleis (pi/...

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  7. Find the radius of a circlein which a central angle of 45^(@) intercep...

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  8. The length of an arc of a radius of 14 cm which subtends an angle of 3...

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  9. If the arc of the same length in two circles subtend angles 75^(@) and...

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  10. Find tge degree measure of the angle subtended at the centre of a circ...

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  11. In a circle of diameter 30 cm, the length of a chord is 15 cm. Find th...

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  12. The measure of angle in degrees through which a pendulum swings if its...

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  13. The large hand of a clock is 42 cm long. How many centimetres does its...

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  14. A wheel makes 180 revoluations in 1 minutes. Through how many radians ...

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  15. A railway train is travelling on a circular curve of 1500 metres radiu...

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  16. A wire of length 121 cm is bent so as to lie along the arc of a circle...

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  17. The angles of a quadrilateral are in AP, and the greatest angle is dou...

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