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Number Patterns and Sequences

In how many e...

Question

In how many equal parts a set square of 30⁰-60⁰-90⁰ will divide a circle (keeping the vertex of 30⁰ at the centre of the circle)?

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Solution

If the vertex of 30⁰ is kept on the centre of the circle, it will divide the circle into 360⁰/30⁰ that is 12 equal parts.

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Q. In how many equal parts will a 45⁰-90⁰-45⁰ set square divide a circle into, keeping the vertex of 45⁰ at the centre of the circle, and repeatedly rotating the set square by that angle along the whole circle?

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In the given figure, O is the centre of a circle and $∠ A C B = 30^{\circ} . Then, ∠ A O B = ?$

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