A symmetric design is formed by placing identical motifs at equal angles around a centre. The angle of rotation is known to be a divisor of 360° that is greater than 24° and less than 40°. How many possible whole-number angles of rotation are there?

Question

Accepted Answer

2. Divisors of 360 strictly between 24 and 40 are 30 and 36 only, so there are 2 possible whole-number angles.

A symmetric design is formed by placing identical motifs at equal angles around a centre. The angle of rotation is known to be a divisor of 360° that is greater than 24° and less than 40°.
How many possible whole-number angles of rotation are there?

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More Class 7 Rotational Symmetry practice

A symmetric design is formed by placing identical motifs at equal angles around a centre. The angle of rotation is known to be a divisor of 360° that is greater than 24° and less than 40°.How many possible whole-number angles of rotation are there?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Rotational Symmetry practice

A symmetric design is formed by placing identical motifs at equal angles around a centre. The angle of rotation is known to be a divisor of 360° that is greater than 24° and less than 40°.
How many possible whole-number angles of rotation are there?