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### Unit 12: Lesson 1

Understanding angle measurement

# 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?
degrees
A caterpillar with its head pointed straight down is labeled Before. A caterpillar with its head pointed straight up is labeled After.

## Problem 2: Oven

If Arianna turns the stove dial 135, degrees to the right, what setting will the dial be on?
A stove knob is shaped like a circle with the arrow pointing to a specific setting. The settings are located around the knob as follows, starting at the top center and moving clockwise: off at the top center, warm about halfway between the top and right, low heat on the right, medium low about halfway between the right and bottom center, medium heat at the bottom center, medium high about halfway between the bottom center and left, and high heat on the left. The arrow currently points to off.

## Problem 3: Directions

Melissa walks 3 blocks south. Then she turns 45, degrees right (clockwise) and walks 1 block.
A compass shows directions as follows: north is straight up, northeast is halfway between up and right, east is directly right, southeast is halfway between right and down, south is straight down, southwest is halfway between down and left, west is directly left, and northwest is halfway between left and up.
What direction does Melissa end up facing?

## Problem 4: Pizza

A pizza is cut into 6 equal slices.
How many 1, degrees turns does it take to make 1 slice of pizza?
turns
A round pizza is divided into 6 equal sections meeting at the center.

## Challenge problem: Clock

How many degrees does the hour hand on a clock turn between 7, colon, 00 AM to 10, colon, 00 AM?
degrees
A clock shows the short hand pointing to 7 and the long hand pointing to 12.

## Want to join the conversation?

• The clock one was the hardest. Does anyone agree?
• I agree it is hard. I got confused
• Probably should have used a different term than "turns".
• 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
• For me the pizza one was hardest because I can't understand that. Anyone agrees?
• It's degrees per slice eeeezzz boi
(1 vote)
• 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?