Question

Angle D is a circumscribed angle of circle O.



What is the perimeter of kite OBDE?

17 units
23 units
27 units
40 units

Answer 1

are you able to find the length of segment AB?

Answer 2

no

Answer 3

use the pythagorean theorem

a^2+b^2 = c^2

a = 8
b = 15
c = unknown

Answer 4

8^2 + 15^2 = c^2

c = ???

Answer 5

i got 17

Answer 6

yep

Answer 7

AB = 17 which is the diameter

radius OB is half of that, so 17/2 = 8.5

Answer 8

OB = 8.5
OE = 8.5
since they're both radii of the same circle

Answer 9

also, BD = ED because of the properties of the kite and it's symmetry

Answer 10

so you add both of those?

Answer 11

OB = 8.5
OE = 8.5
BD = 5
ED = 5

Answer 12

Add up the four sides

Answer 13

i got 27

Answer 14

which is the correct answer