Hi! I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Make sure to do both of them! Thanks!

9514 1404 393

  1. area DEF = 2π cm²

  2. arc JK = 2π cm

Step-by-step explanation:

1. The area is given by ...

  A = 1/2r²θ . . . . . where r is the radius and θ is the central angle in radians

Your sector has an area of ...

  A = (1/2)(3 cm)²(80(π/180)) = (1/2)(9 cm²)(4/9π)

  A = 2π cm²

__

2. The length of an arc is ...

  s = rθ . . . . . . . where r is the radius and θ is the central angle in radians

  s = (5 cm)(72(π/180)) = (5 cm)(2/5π)

  s = 2π cm . . . arc length

Additional comment

There are π radians in 180°, so an angle in degrees can be converted to an angle in radians by multiplying by π/180°. (The units of degrees cancel, leaving a pure number. "Radians" have no units.)

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.