Question

Quadrilateral OPQR is inscribed inside a circle as shown below. What equation would be needed to solve for angle P? What is the measure of angle P?

Answer 1

@ranga

Answer 2

@random231

Answer 3

http://learn.flvs.net/webdav/assessment_images/educator_geometry/v15/module09/09_08_12.jpg

Answer 4

um its showing error for meh!

Answer 5

i tried to put the picture but it would not let me

Answer 6

@jim_thompson5910

Answer 7

A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars?

Answer 8

it don't have a picture i am trying to figure the other one out

Answer 9

http://assets.openstudy.com/updates/attachments/528468e1e4b0218bc651740e-lowcard2-1384409319391-09_08_12.jpg

Answer 10

@ranga

Answer 11

@jim_thompson5910

Answer 12

for the quadrilateral problem, have a look at this

http://www.geom.uiuc.edu/~dwiggins/pict47.GIF

Answer 13

basically, if there's a quadrilateral inscribed in a circle, then the opposite angles add to 180 degrees

Answer 14

Just follow up on jim_thompson's suggestion. When a quadrilateral is inscribed in a circle, the opposite angles add to 180 degrees.
Therefore, angle P + angle R = 180 degrees. From the diagram,
angle P = y and angle R = 3y + 8
Therefore, y + 3y + 8 = 180
Solve for y and that will be angle P.

Answer 15

How do you find y

Answer 16

@ranga

Answer 17

@ganeshie8

Answer 18

y + 3y + 8 = 180
4y + 8 = 180
Subtract 8 from both sides. Then divide both sides by 4 to find y.