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Mathematics P2 Step 2 of 9 beginner

Coordinate Circles and Tangents

Read a circle's centre and radius from its equation, complete the square when it is not in standard form, and find the tangent at any point.

By the end, you can

find the centre and radius of a circle and determine the equation of a tangent at a given point.

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Coordinate Circles and Tangents

QUEST MATH-P2-CIRCLES

One equation, everything in it

A circle's equation carries its centre and its radius, and once you can read those two things off, every other question in this topic follows. ⭕

The one fact that makes tangents easy: a tangent is perpendicular to the radius at the point of contact. Almost every tangent question is that sentence turned into algebra.

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What you'll cover

  1. 1 One equation, everything in itfree preview above
  2. 2 The standard form
  3. 3 Completing the square
  4. 4 The tangent
  5. 5 Distances that answer questions
  6. 6 Two circles
  7. 7 A routine for circle questions
  8. 8 The challenge
  9. 9 What to take with you

Your certificate

Pass the challenge and it arrives straight away as a PDF. Add it to your CV or LinkedIn, and anyone can check it's real.

Certificate of completion

Your name here

has completed the MicroQuest

Coordinate Circles and Tangents

LCA-2026-••••••••

Verify at skillsyms.com/verify

Informal learning, not an accredited qualification.

Next on the Mathematics P2 path · step 3 of 9

Euclidean Geometry: Circle Theorems and Reasons

14 min · R19

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Coordinate Circles and Tangents: questions

How long does Coordinate Circles and Tangents take?
About 13 minutes: 9 short lessons, 2 quick checks and a 5-question final challenge. Your progress is saved after every step, so you can stop and carry on later.
How much does Coordinate Circles and Tangents cost?
R19, paid securely online, or 19 learning credits from your wallet. You pay once: if you don’t pass the challenge, you try again at no extra cost.
What do I need to pass?
4 out of 5 on the final challenge (80%). The quick checks along the way help you learn and do not count towards your mark.
Is the certificate accredited?
No. A MicroQuest is informal learning. Your certificate proves you completed it and has a number and QR code anyone can verify, but it is not an accredited qualification or SETA/QCTO credits, and it says so.
Can I do it on my phone?
Yes. Tap Start to learn in your phone’s browser, or send QUEST MATH-P2-CIRCLES to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.

Coordinate Circles and Tangents

R19 · 13 min · certificate

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