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Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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![**Topic: Calculus: Derivatives**
In this example, we are given the derivative of a function \(y\) with respect to \(x\).
The handwritten formula presented is:
\[ \frac{dy}{dx} = \frac{1 \cdot y^2}{1 + x^2} \]
This equation represents the derivative \(\frac{dy}{dx}\), indicating the rate of change of \(y\) with respect to \(x\). The numerator consists of the product of 1 and \(y^2\), and the denominator is the sum of 1 and \(x^2\). This type of equation might appear in problems involving differential equations or in the study of specific forms of functions where understanding how one variable changes in relation to another is necessary.
Remember to always simplify your expressions where possible and apply appropriate rules of differentiation when handling more complex equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faaa612e4-bb6a-4a7c-9bcb-a4980796bdd1%2Fbfd85310-9e3b-4115-8de2-69dd0b3a3425%2Fu075b7b_reoriented.jpeg&w=3840&q=75)
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