Question

1) How many degrees are in one-fourth of a circle?

2) How many degrees are in an angle that divides a circle into two equal parts?

3) A circular loaf of bread is to be divided into nine equal pieces. At what angle should each piece be cut?

Answer 1

1) 1/4th of a circle is called a quadrant.and its angle is =Angle at the centre of the circle(360°)X1/4 i.e.,=360°X1/4=90°.therefore angle is 90°.

2)circle divided into two equal parts is called a semi circle.And angle that divides the circle is angle at the centre of the circle(360°) ×1/2 i.e., =360°×1/2 i.e.,=180°.therefore the angle is 180°.

3)The circular loaf is to to be cut into 9 equal parts.And the angle at which the loaf should be cut is = angle at the centre of the circle(360°) ×1/9 i.e., = 360×1/9 i.e., =40°

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