To find the equation of a circle when you know the radius and centre, use the formula \({(x - a)^2} + {(y - b)^2} = {r^2}\), where \((a,b)\) represents the centre of the circle, and \(r\) is the ...

This means that, using Pythagoras’ theorem, the equation of a circle with radius \(r\) and centre (0, 0) is given by the formula \(x^2+ y^2= r^2\). Find the equation of a circle with radius 3 ...

The Calvin University Math Circle is an opportunity for 6th–8th grade students (typically 11–13 years old) to engage with exciting problems and topics in mathematics. Meetings are led by a professor ...

Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

Born poor in colonial India and dead at 32, Ramanujan had fantastical, out-of-nowhere visions that continue to shape the ...

Illustration by frankie's, Shutterstock You may have heard the saying, “you can’t square a circle”, which is ... University has spent 42 years using mathematics to unravel the mysteries ...

Relan characterized MathGPT as more than utilitarian; the overarching mission is to “democratize high-quality math education.

The half-yearly exams for CBSE Class 10 are over and students must now focus on the final board examination. It is important ...

Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, ...

How has ocean heat in the Gulf changed over time? By The Learning Network A new collection of graphs, maps and charts organized by topic and type from our “What’s Going On in This Graph?” ...

The risk-free rate was initially used in the formula to denote an investor's hypothetical minimal borrowing costs. More generally, it represents the risk premium of an investment versus a safe ...