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Exam-Style Question on Circle

A mathematics exam-style question with a worked solution that can be revealed gradually

List Of Questions Exam-Style Question More Circle Questions More on this Topic

Question id: 272. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

Emoji

 

 

 

This draft emoji design (not drawn to scale) includes a circle and a kite.

 

AB and AC are both tangents to the circle centre O.

The radius of the circle is 7cm. The dashed line AO is 12cm.

 

Calculate the length of the arc BDC.

 

 

 

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Example

Dent

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If you need more practice try the self-checking interactive exercises called Circles.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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Comments:

Jason Jones, Valley Park

Monday, March 16, 2020

"Not sure how AB an AC can be tangential to the circle if they are not perpendicular to the radial lines BO and CO?

[Transum: Yes the tangents are perpendicular to the radii, that fact will help solve the problem. I have added 'not to scale' to the question text. Thanks for your feedback.]"

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