The circumference of a circle is derived by the formula: C=2πr The circumference is the distance covered to complete one circle also known as the perimeter of circle. Tangent: A coplanar straight line intersecting the exterior of the circle at a single point.Ĭlick here for SSC CGL Tier 2 Free Quizzes of all Topics Circumference of Circle The half-disc of the circle is Semicircle. Semicircle: It is the arc determined by the endpoints of a diameter, taking its midpoint as the centre. Segment: The region bounded by a chord and one of the arcs connecting the chord’s endpoints. Sector: A region bounded by two radii of equal length with a common centre. Radius: A line segment joining the centre of a circle to any point on the circle. It is the longest chord for a circle and is twice as long as the radius. Determining two endpoints on the arc and centre allows two arcs to form a complete circle together.Ĭentre: The point that is equidistant from all points on the circle.Ĭhord: A linear segment dividing the circle into two segments whose endpoints lie on the circle.ĭiameter: The greatest distance between two points in a circle is the diameter. Download the PDF for notes on Circle with examples.Ĭlick here for SSC CGL Tier 2 Study material Circle TerminologyĪrc: Every connected point on the circle is the arc. We are providing you with the important terminologies, formula and examples based on Circles. Questions based on circles are widely asked in various competitive examinations where candidates need to apply the formula and derive the answer. An exact round shape is the perfect example of a circle. Simply, a circle is a closed curve that divides a plane into 2 regions- interior and exterior. What is a Circle? A Circle is a 2-dimensional round shape consisting of points at equidistant from the centre. So we could also divide by two first and then multiply by the radius to work out the area of a circle given its circumference.Circle: Definition, Circumference, Area, And Examples Download PDF It’s also worth pointing out that as multiplication and division are both commutative, we could perform these operations in either order. So we can answer that if we’re given the circumference of a circle, we can multiply it by its radius and then divide by two in order to work out its area. If we then divide by two, this will cancel with the two in the numerator, leaving just □□ squared which is our area formula. So this becomes two □□ squared, which is looking a lot more like our area formula. If we first multiply by □, we’ll have two □□ multiplied by □. Let’s start with our formula for the circumference of a circle, two □□. But actually, we don’t need to go all the way back to finding the radius. So the question is if we know the circumference of a circle, what can we do with this value in order to work out its area? Well, we could work all the way back from knowing the circumference of a circle to find its radius and then substitute this value into the area formula. As the area formula uses □, we’ll consider the circumference formula, which also uses the radius of the circle. The area can be found using the formula □□ squared. The circumference of a circle can be found using the formula two □□ or □□, where □ represents the radius of a circle and □ represents its diameter. Let’s go ahead and write these formulas down. So in this question, we’re being asked to identify the link between the formulas we used to calculate the circumference and area of a circle. How can you use the circumference of a circle to work out its area?
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