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Dragon's Dungeon Breakout (arc length and sector area)

Keith N

Created on November 10, 2024

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Transcript

breakout

dragon

's

The

dungeon

Start game

Story

Legend says that a faraway kingdom forged a sword that together with the power of the Elemental Gems (water, air, earth, and fire) could defeat any evil. Gather the gems to assemble the ultimate weapon and defeat the dragon hiding in the dungeon.

Start game

Thank goodness you’ve come! We need your help! You need to find the 4 Elemental Gems so that the sword has enough power and then defeat the fearsome dragon that is terrorizing our people…

Help us, only a person like you can do it!

No thank you, I’ll pass

Of course!

Ouch! I thought you were cool ... What will become of us!

Hehehe, I was kidding. Ahem, of course I’ll help you

I knew you would not fail me! Thanks a lot! Here is the holy sword. Now gather the Elemental Gems to complete it and defeat the dragon.

LEVEL 1 - WATER GEM

WATER GEM

Drag the light to find the correct answer

Start level

Search for a word related to 'CIRCLE'

Round

Angular

Sharp

Search for a word related to 'ARC LENGTH'

Distance

Height

Volume

Search for a word related to 'CIRCULAR SECTOR'

Hypotenuse

Area

Distance

Search for a word related to 'RADIANS'

Diameter

Tangent

Radius

And now look for the gem! Hurry up!

You got the Water gem!

GAME OVER

Try Again

Exit

LEVEL 2 - AIR GEM

AIR GEM

Choose the correct image to get out of the room alive and get the next gem

Start level

Which of these shows an arc length of 52π/3 km?

Which of these shows an arc length of 14π/3 m?

Which of these has a sector area of 63.6 in2?

Which of these has a sector area of 207.3 feet2?

Trivia: Which of these gases are more abundant in "air"?

You got the Air Gem!

GAME OVER

Try Again

Exit

LEVEL 3 - EARTH GEM

EARTH GEM

Watch out, a wandering skeleton is in your way! Get the earth gem by passing a quiz...

Start level

Where do you think you’re going, mortal?! You won’t be worthy of the Earth Gem until you get all my questions correct. Do you dare to try?

Are all circles similar?

Yeah

Nah

How many radians is a full circle?

What is the conversion of degrees to radians?

Multiply by 2π/180

Multiply by π/180

What is the formula for finding the circumference of a circle?

2πr

πr2

Are skeletons cool?

No, they're kinda gross

Of course!

Why would you say that :(((

I take it back...?

Congratulations!! Here is your reward, you have earned it

Hahahaha, what did you say? ...

Oh, I misspoke, give me another chance!

LEVEL 4 - FIRE GEM

FIRE GEM

Search among the tiles for the descriptions of a circle, then use them to find the correct answer Note that r is the radius and θ is the central angle

Start level

θ = 90°
r = 2 in

Hover over the tiles to find the 2 pieces of information, then calculate the arc length:

π in

3π in

2π in

θ = 60°
r = 4 m

Hover over the tiles to find the 2 pieces of information, then calculate the arc length:

2π/3 m

5π/3 m

4π/3 m

r = 5 m
θ = 20°

Hover over the tiles to find the 2 pieces of information, then calculate the sector area:

13.09 m2

2.18 m2

4.36 m2

θ = 70°
r = 2 ft

Hover over the tiles to find the 2 pieces of information, then calculate the sector area:

2.44 ft2

21.99 ft2

9.77 ft2

Air
Heat
Fuel

Dig around for some clues. What are the 3 necessary components of a fire?

Gas, wood, and energy

Air, fuel, and heat

Smoke, flame, light

You got the Fire Gem!

GAME OVER

Try Again

Exit

FINAL LEVEL - DRAGON

Defeat the dragon!

How dare you bother me, you fool!

THE END

You defeated the dragon. Everything returned to peace. And you’ve become a legend!
What will become of us!

SURE YOU WANT TO GO OUT?

Stay

Exit