![]() We can also identify other parts of a circle. We can also define angles with either positive or negative numbers, depending on the direction of measurement from a particular radius-a positive angle is traditionally measured in the counterclockwise direction, and a negative angle is traditionally measured in the clockwise direction, as shown below. Using our measurement of degrees, this angle α can (unambiguously) be any value between 0° and 360°. The circle itself does not show any angles or sides that we can use to determine how many degrees are in the figure (as we did with polygons), but we can see that any two radii do form an angle α, as shown below. Each of the line segments drawn from C to the circle is called a radius (in other words, no one segment is defined as the radius, since all such segments are equal in length). Note that regardless of which point on the circle is chosen, it is always a distance r from the center point, C. A circle with a radius r and center point C is shown below. ![]() The distance from the center of the points that lie on the circle is called the radius (plural radii) of the circle. Thus, we can define a circle (without a definite location) by specifying the distance from the center alternatively, we can define a circle (with a definite location) by specifying the distance from and the location of the center. O Calculate the area and circumference of a circle or portion thereofĪ circle is simply a figure defined by all the points that are equidistant from a given center point. Since tangents from the same external point are equal in length.O Know how to fundamentally define a circle So, triangle APC is a right angle triangle.Īpply Pythagoras theorem in triangle APC: AP 2 + AC 2 = PC 2 What will be the perimeter of quadrilateral APBC if radius of circle is 5 cm and length of CP is equal to 13?Īngle made by tangent at point of tangency along with radius is always 90° If ∠ ADB = 65° then, what is the sum of ∠ ADB, ∠ ACB and ∠ AEB?Īngle formed by two points in the same arc are equal. Solution: Area of circle = π * radius * radiusġ54 = 22 / 7 * radius * radius (take π = 22 / 7) What is the radius of circle having area 154 cm 2? Two or more circle with same of different radius are concentric circles. Inscribed figure: When a circle covers all points of a polygon then the polygon is inscribed in a circle.Ĭircumscribed figure: When a circle is inside a polygon, its perimeter touches all sides of polygon and every side of polygon is tangent to the circle then the figure is called circumscribed. What is inscribed figure and circumscribed figure? Tangent drawn from the same point are equal in length. Radius is drawn to the point of tangency is perpendicular to the tangent. Length of the arc = (angle subtended by an arc at center / 360°)* circumferenceĪrea of sector = radius * angle subtends by sector.Ī tangent is a line segment which lies on the same plane as a circle and touches the circle at only one point this point is called point of tangency.ĪP and BP are tangent of the circle, where A and B are the point of tangency. D is the point in between A and E to avoid ambiguity. Generally, an arc contains 3 points to avoid ambiguity.ĪDE is an arc of given circle. Diameter is a special type of chord that passes through center of circle.Ĭonsider any two point on a circumference of a circle, length between these two points including all points between them is called arc. It is line segment which connects two points on the circle. Π is a non repeating non terminating number which is equal to 22 / 7 or approximately 3.14. ![]() Π is the ratio of circumference to the diameter of circle which is same for all circle or, = circumference / diameter ISRO CS Syllabus for Scientist/Engineer Exam.ISRO CS Original Papers and Official Keys. ![]() GATE CS Original Papers and Official Keys.
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