Trigonometric circular function question (1 Viewer)

[Menomaths]

A point p is 8 cm distant from the centre of a circle of radius length 5 cm. Find the length of the major arc between the points of contact of the tangents drawn from p to the circle. Need help with this question please. Thanks

 

[ymcaec]

I assume its what the diagram looks like

Note that the angle between the radius and the tangent is a right angle
you can then use Pythagoras to find the angle at the centre (between the two radii)
and then the length of the arc

 

[Menomaths]

View attachment 28334

I assume its what the diagram looks like

Note that the angle between the radius and the tangent is a right angle
you can then use Pythagoras to find the angle at the centre (between the two radii)
and then the length of the arc

You are correct How did you figure out that the angle between the radius and the tangent is a right angle?

 

[HeroicPandas]

You are correct How did you figure out that the angle between the radius and the tangent is a right angle?

circle geometry (3u maths)

 

[Menomaths]

circle geometry (3u maths)

How am I supposed to solve that then -.-

 

[HeroicPandas]

How am I supposed to solve that then -.-

lol, where did u get this question from?

 

[Menomaths]

lol, where did u get this question from?

This yellow textbook called Fitzpatrick, apparently it's one of the best textbooks for 2 unit

 

[HeroicPandas]

This yellow textbook called Fitzpatrick, apparently it's one of the best textbooks for 2 unit

then most likely that question is a 3u question (unless im not seeing a 2u way)

 

[Menomaths]

then most likely that question is a 3u question (unless im not seeing a 2u way)

Oh okay, slight confidence boost

 

[HeroicPandas]

Oh okay, slight confidence boost

lol goodluck in 2u! all u need is some impressive algebra skills!

 

[Menomaths]

lol goodluck in 2u! all u need is some impressive algebra skills!

Yeah, and some good interpreting skills for the ambiguous questions eg. Loan Repayments. Rip my hair out on those ones lol.