What is the degree measure and the radian measure of an arc equal to a) half

What is the degree measure and the radian measure of an arc equal to a) half b) a third of a part c) fourth d) sixth e) eighth of a circle

а)

Let us determine what the degree and radian measures of the arc will be equal to when we know that it is equal to half the circumference:

360: 2 = 180;

2P: 2 = п.

Answer: 180 ° and п.

b)

Let us determine what the degree and radian measures of the arc will be equal to when we know that it is equal to a third of the circumference:

360: 3 = 120;

2п: 3 = 2п / 3.

Answer: 120 ° and 2R / 3.

с)

Let us determine what the degree and radian measures of the arc will be equal to when we know that it is equal to a quarter of the circumference:

360: 2 = 90;

2п: 4 = п / 2.

Answer: 90 ° and п / 2.

G)

Let us determine what the degree and radian measures of the arc will be equal to when we know that it is equal to 1/6 of the circumference:

360: 6 = 60;

2п: 6 = п / 3.

Answer: 60 ° and п / 3.

e)

Let us determine what the degree and radian measures of the arc will be equal to when we know that it is equal to 1/8 of the circumference:

360: 8 = 45;

2п: 8 = п / 4.

Answer: 45 ° and п / 4.