# Angles in circles word problems

Practice word problems that involve thinking about angles as part of a circle.

## Problem 1: Caterpillar

A caterpillar stands on her head.

**How many degrees does the caterpillar need to turn to be upright?**

**Your answer should be**- an integer, like $6$6
- a
*simplified proper*fraction, like $3/5$3, slash, 5 - a
*simplified improper*fraction, like $7/4$7, slash, 4 - a mixed number, like $1\ 3/4$1, space, 3, slash, 4
- an
*exact*decimal, like $0.75$0, point, 75 - a multiple of pi, like $12\ \text{pi}$12, space, p, i or $2/3\ \text{pi}$2, slash, 3, space, p, i

Explain

## Problem 2: Oven

**If Arianna turns the stove dial $135^\circ$135, degree to the right, what setting will the dial be on?**

Explain

## Problem 3: Directions

Melissa walks $3$3 blocks south. Then she turns $45^\circ$45, degree right (clockwise) and walks $1$1 block.

**What direction does Melissa end up facing?**

Explain

## Problem 4: Pizza

A pizza is cut into $6$6 equal slices.

**How many $1^\circ$1, degree turns does it take to make $1$1 slice of pizza?**

**Your answer should be**- an integer, like $6$6
- a
*simplified proper*fraction, like $3/5$3, slash, 5 - a
*simplified improper*fraction, like $7/4$7, slash, 4 - a mixed number, like $1\ 3/4$1, space, 3, slash, 4
- an
*exact*decimal, like $0.75$0, point, 75 - a multiple of pi, like $12\ \text{pi}$12, space, p, i or $2/3\ \text{pi}$2, slash, 3, space, p, i

Explain

## Challenge problem: Clock

**How many degrees does the hour hand on a clock turn between $7{:}00$7, colon, 00 AM to $10{:}00$10, colon, 00 AM?**

**Your answer should be**- an integer, like $6$6
- a
*simplified proper*fraction, like $3/5$3, slash, 5 - a
*simplified improper*fraction, like $7/4$7, slash, 4 - a mixed number, like $1\ 3/4$1, space, 3, slash, 4
- an
*exact*decimal, like $0.75$0, point, 75 - a multiple of pi, like $12\ \text{pi}$12, space, p, i or $2/3\ \text{pi}$2, slash, 3, space, p, i

Explain