## Exam-Style Question on Circle## A mathematics exam-style question with a worked solution that can be revealed gradually |

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.

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

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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.]"