Turn on thread page Beta
    • Thread Starter
    Offline

    1
    ReputationRep:
    Hello,

    I'm stuck on a question in the C2 book (Edexcel). It's PG 97, EX 6C, Q 9.

    In the diagram, AB and AC are tangents to a circle, centre 0 and radius 3.6cm (BO). Calculate the area of the shaded region, given that (Angle) BOC = 2/3pi radians.

    The shaded region is BAC.

    Thank you.
    Attachment 618534

    ---Moved to Maths---
    • Community Assistant
    • Study Helper
    Offline

    20
    ReputationRep:
    Community Assistant
    Study Helper
    (Original post by Edzinga)
    Hello,

    I'm stuck on a question in the C2 book (Edexcel). It's PG 97, EX 6C, Q 9.

    In the diagram, AB and AC are tangents to a circle, centre 0 and radius 3.6cm (BO). Calculate the area of the shaded region, given that (Angle) BOC = 2/3pi radians.

    The shaded region is BAC.

    Thank you.


    ---Moved to Maths---
    Please post a picture of the question. Not everyone has access to the book.

    And please also post your working and explain why you're stuck.
    Offline

    12
    ReputationRep:
    The radius of a circle always meets the tangent at a 90 degree angle...

    Consider cutting the kite in two to form two identical right-angled triangles...

    You should be able to find the area of the shaded region from there (I think)

    Ages since I did GCSE maths so apologies if this is wrong


    Posted from TSR Mobile
    • Thread Starter
    Offline

    1
    ReputationRep:
    [QUOTE=TheMightyAugur;70026592]The radius of a circle always meets the tangent at a 90 degree angle...

    Consider cutting the kite in two to form two identical right-angled triangles...

    -------------------------------------------------------------------------------------------------------

    Okay, Thank you. I'll try that and see where I get to.
    • Community Assistant
    • Study Helper
    Offline

    20
    ReputationRep:
    Community Assistant
    Study Helper
    (Original post by Edzinga)
    The radius of a circle always meets the tangent at a 90 degree angle...

    Consider cutting the kite in two to form two identical right-angled triangles...

    -------------------------------------------------------------------------------------------------------

    Okay, Thank you. I'll try that and see where I get to.
    Did you try this? I noticed you created another thread but it was the same question so keep it all in this thread please.

    You need to draw a horizontal line in the kite to split it into two triangles. Both triangles are right-angled because of a circle theorem (tangent/radius).

    The picture isn't showing for me anymore so I can't be more specific with which two triangles I'm talking about.
    • Thread Starter
    Offline

    1
    ReputationRep:
    (Original post by notnek)
    Did you try this? I noticed you created another thread but it was the same question so keep it all in this thread please.

    You need to draw a horizontal line in the kite to split it into two triangles. Both triangles are right-angled because of a circle theorem (tangent/radius).

    The picture isn't showing for me anymore so I can't be more specific with which two triangles I'm talking about.
    I've done the horizontal line and I've found the area of the kite as a whole, however I'm not sure how to find the area of the shaded region with this information

    Name:  Q9.jpg
Views: 101
Size:  56.6 KB
    • Community Assistant
    • Study Helper
    Offline

    20
    ReputationRep:
    Community Assistant
    Study Helper
    (Original post by Edzinga)
    I've done the horizontal line and I've found the area of the kite as a whole, however I'm not sure how to find the area of the shaded region with this information
    The shaded region is the area of the kite minus the area of the sector. Can you see that?

    So the next step is to find the area of the sector.
    • Thread Starter
    Offline

    1
    ReputationRep:
    (Original post by notnek)
    The shaded region is the area of the kite minus the area of the sector. Can you see that?

    So the next step is to find the area of the sector.
    Ohhh okay, that's so much more obvious now you've pointed that out. Thank you very much.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: February 10, 2017

3,722

students online now

800,000+

Exam discussions

Find your exam discussion here

Poll
Should predicted grades be removed from the uni application process
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.