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### Course: 7th grade foundations (Eureka Math/EngageNY)>Unit 6

Lesson 1: Topic A: Foundations

# 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?
${}^{\circ }$

## Problem 2: Oven

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

## Problem 3: Directions

Melissa walks $3$ blocks south. Then she turns ${45}^{\circ }$ right (clockwise) and walks $1$ block.
What direction does Melissa end up facing?

## Problem 4: Pizza

A pizza is cut into $6$ equal slices.
How many ${1}^{\circ }$ turns does it take to make $1$ slice of pizza?
turns

## Challenge problem: Clock

How many degrees does the hour hand on a clock turn between $7:00$ AM to $10:00$ AM?
${}^{\circ }$

## Want to join the conversation?

• The clock one was the hardest out of all
• It would seem as though for each one we take the number of times (it occurs) / the number of objects there are.
In the clock problem (between 7 o'clock and 10 o'clock, there is 3 hours) we know that a clock has 12 hours which can be written as 3/12 -> 1/4. 360 / 4 = 90
• The clock problem is the one I found easiest except for the worm problem. Is this just me or...?
• honestly i found the clock problem to be the hardest
• This doesn't make any sense whatsoever. It has to make at least one full turn to get to another hour. Plus another 30 degrees to get to the next hour! How is 90 degrees possible? I went through a ton of trying to solve this problem. How is 90 degrees even the answer?
• That's why I have a hard time with this.
• i kinda don't get it but I went threw it because I tried my best!
• For me the pizza one was hardest because I can't understand that. Anyone agrees?
• lol anybody now the caterpillar one
• this does not make any sense!!
• the pizza one make it all easy. ,, half is 180 ,, thirds of 180 is 60 if u think 12 hours on a clock 6 is 180. Means every 2 hours is 60° = every hour is +30° , thanks guys. Its awesome