O Find the coordinates of points where a line intersects a circle.

Q: Find the requation of a circle with centre C and radius r where C=(5,-3),r=4

A:

Q: Find the angle of intersection of the circles, x^2+y^2-4x=1 and x^2+y^2-2y=9

A: Given: x2+y2-4x=1x2+y2-2y=9 To Find: The angle of intersection of the circles. Concept: If two…

Q: Find the center and radius of this circle. (x – 2)²+(y + 3)²= 36 C= (2,-3) and r=[? ] Enter

A: The equation of circle is  (X-h)2+(y-k)2 = r2 Where (h,k) are the centre of the circle And r is the…

Q: Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0, 21x-20y-70-0,…

A:

Q: Find the midpoint of the segment with the following endpoints. (2, –4) and (6, –10)

A: The midpoint of a segment having endpoints (x1,y1) and (x2,y2) is: x=x1+x22              y=y1+y22…

Q: Determine the distance from the point (8,10) to the farthest point on the circle x2+y2=16y a. 17.85…

A: To determine the distance from the point 8, 10 to the farthest point on the circle x2+y2=16y.

Q: (4) Find the circle a(x² +y³)+b(x+y) = 1, which best fits the following data. (0, –1), (–1,0),…

A: Given that a(x2+y2)+b(x+y)=1 satisfy the given data (0,-1),(-1,0),(1,-1),(1,1)  that is it gives…

Q: 10. Use the given conditions to write an equation for the circle C (-/3, -2), a= 2 O [(x+/3) ^2 +…

A: Solution:

Q: Consider the following equation of a circle. 49 + (у — 1)? . 16 - |

A: Given: x-762+y-12=4916

Q: In the figure, P is the center of the circle. QRS is a straight line. If ZP = 105°, find the measure…

A: Consider the given information: Let P be the center of a circle. QRS be the straight line  and…

Q: Find the midpoint of the segment with the following endpoints. (4, 2) and (7, 6)

A:

Q: Given a circle with the center at the origin and passing through (4, 3).

A: The equation of a circle with center (h, K) and radius r is given by (x-h)2+(y-k)2=r2 For a circle…

Q: Find the midpoint of the segment with the following endpoints. (6, 3) and (2,7)

A: Our Aim is to find the midpoint of the segment with the following endpoints:-(6,3) and (2,7).

Q: Evaluate xy ds where C is the right half of the circle x2 + y? = 9

A:

Q: Which equation represents a circle with center (1, -3) and radius of 16 units? O (x+1)2 + (y-3)2 =…

A: The solution is :

Q: Q. If the leng the circle?

A: We know that the length of an arc (s) subtending an angle θ at the center of a circle having radius…

Q: B. Write the general equation of a circle with the given center and radius. Center :(0,0); radius =…

A: The general equation of the circle is (x-h)2+(y-k)2=r2

Q: A 7.5 10 B 11,3

A:

Q: 7) Give the point on the unit circle that has the same y coordinate as 10

A: The unit circle is given by x2+y2=1 x2 = 1 - y2 x =±1-y2

Q: Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0, 21x-20y-70-0,…

A: Since, the student has asked for the part (C), so we are solving accordingly third part (C).

Q: Which statement is true for the circles below?

A: Given,           The circles below

Q: If the endpoints of the diameter of a circle are A(5, 2) and B(-3,4), find the coordinates of the…

A: Given: Endpoints of the diameter of a circle are A(5,2) and B(-3,4).   To Find: The coordinates of…

Q: ..... .... -10- Given the equation of a circle below, what is the length of the diar (x + 2)2 + (y –…

A:

Q: 1. Write the equation of a circle with a center at (-3, -4) and a radius of 7.

A: Given: Center of the circle=-3, -4Radius of the circle=7 To Find: The equation of the given circle

Q: What is the center of the following circle: (x – 2)² + (y – 4)° = 25 X-Value Y-Value

A:

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

A:

Q: 5) Determine the points on the unit circle that intersect the line y = mx.

A: Given unit circle We know that the equation for unit circle is x2+y2=1let x2+y2=1 ---> equation…

Q: Which of the following is a point on the unit circle? a) (급, b) () 이() d) (뀨,) 14 5 (24 13 13

A: A unit circle will have a radius of 1 unit. Centre of the unit circle will be at (0,0). Radius is…

Q: Find the value of "x". Point O is the center of the circle. x°

A: given,

Q: b) Find the center of the circle eircumseribing the triangle whose vertices are (-3, 0), (0. 9) and…

A: Let the centre be C = (x, y)

Q: Use a graphing calculator to graph the circle on an approximate square viewing window. *+y? = 25

A: Given,            x2+y2=25

Q: A 9.2 B 6.9 4.6

A: The length of the side AB=9.2 units. The length of the side BC=6.9+4.6=11.5 units.

Q: Which of the following is the standard form of a circle?

A:

Q: 1 E 10.

A:

Q: Give the center and the radius of the circle.  x2+y2=36

A:

Q: Identify the center and the radius of the circle. 20. (x – 1)° + (y + 3)² = 4 21. (x – 2)° + (y –…

A: (x−h)2+(y−k)2=r2 (h, k) is the center and r is the radius of the circle. 20. (x - 1)2 + (y + 3)2 = 4…

Q: determine the center and radius of the circle. (x − 4)^2 + (y + 3)^2 = 4

A: Consider the given equation

Q: Consider the following equation of a circle. (x- 8) + Step 3 of 3: Find three points that lie on the…

A: The given equation of the circle is: (x - 8)² + (y + 6/5)² = 25/9

Q: Name two points that determine line L.

A:

Q: Which line would be tangent to the circle shown? Ay %24

A: A tangent to a circle is a straight line which touches the circle at only one point. This point is…

Q: How would I draw the circles to these points?

A: (1) It is known that, the standard form of the equation of a circle with the center at (0,0) is,x2 +…

Q: If A is the center of the circle, then which statement explains how ED is related to FD? F D E

A: Given,

Q: 4. Suppose you are given equations of two overlapping circles as Determine how to find the points of…

A: Answer: The solution is as given below:

Q: Find the points on the circle x^2+y^2=45 that are closest to and farthest from (1,2)

A:

Q: :Find the center and radius of the circle 4 x2 +4 y2- 24 y+ 18 = 0

A:

Q: Find the center and radhus of the circle (x-3)2 + ()y +4)2-7

A:

Q: (x – 1)2 + (y + 5)2 = 4 y 41 2 -4-2 0 4

A: I am going to solve the given equation by comparing it with the standard form of circle to get the…

Q: 2 Draw the circle x² + y = 16.

A: We know that x−a2+y−b2=r2  is the circle equation with a radius r, centered at a, b. Rewrite…

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.