Find the value of x. Lines that appear to be tangent are tangent. O is the center of the circle. 40° O 140 O 120 40 90

Q: ☐☐ 45. Which of the following lines or line segments are tangent to the circle? O O O O

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Q: Give the center and radius of the circle. x 2 + y2 = 25

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Q: 1. Write the gtand ard equation of a circle given eenter (1,3) and point on the circle (-4,15),"

A: The general equation of a circle is given by . Where, -g, -f is the centre of the circle.

Q: A circle is drawn through P(-1, 10), Q(2, 4) and O(0, 0). What is the x -coordinate of the centre of…

A: The general equation of a circle is of the form x2+y2+2gx+2fy+c=0,where g,f,c are constants. The…

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.