Simultaneous Equations in Circle Geometry
Simultaneous Equations in Circle Geometry
Secondary 2
The radius of a small circle is \((p-2q)\)cm and the radius of a big circle is \((5p-12q)\)cm.
The radius of the big circle is twice the radius of the small circle.
- Write down and simplify a linear equation connecting \(p\) and \(q\).
- If the sum of the circumference of the two circle is \(16\pi \) cm. Write down and simplify another linear equation connecting \(p\) and \(q\).
- Find the values of \(p\) and \(q\).
- Hence, find the radius of the small circle.
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Answer:(a) \(3p-8q=0\) (b) \(3p-7q=4\) (c)(i) \(p=10\frac{2}{3},\ q=4\) (c)(ii) \(2\frac{2}{3}\text{ cm}\)
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