What is the formula of circle in coordinate geometry?

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

How do you solve a circle equation?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.

What are the 8 theorems of a circle?

Circle Theorem 1 – Angle at the Centre.

Circle Theorem 2 – Angles in a Semicircle.

Circle Theorem 3 – Angles in the Same Segment.

Circle Theorem 4 – Cyclic Quadrilateral.

Circle Theorem 5 – Radius to a Tangent.

Circle Theorem 6 – Tangents from a Point to a Circle.

Circle Theorem 7 – Tangents from a Point to a Circle II.

What are the 6 main circle theorems?

How do you construct a 135 degree angle?

Give me the steps of constructing 135 degree angle with a picture…

1. Draw a line parallel to a given line AB at a distance of 2.5 cm.
2. Draw a line l, take a point A above it.
3. Draw a line segment AB, take a point P below it.
4. Draw a line AB and then construct another line parallel to AB which is 4 cm above it.

How do you construct a 105 degree?

Expert Answer:

1. draw 120 degree angle.
2. then draw 90 degree angle.
3. the angle between the two rays will be 30 degree, draw the angle bisector.
4. now 90 + 15 = 105.

How do you find the coordinates of a circle?

In the above applet click ‘reset’,and ‘hide details’.

Check ‘Show coordinates’ and uncheck ‘freeze radius’.

Drag the point P to create a circle of your choice.

Calculate the radius of the circle,and write the equation of the circle.

Click ‘show details’ to check your result.

How to find the coordinates of a circle?

– Output – Similarly if we given a centre (c1, c2) and other end coordinate (x2, y2) of a diameter and we finding a (x1, y1) coordinates – So The other end coordinates (x1, y1) of a diameter is

What is the standard equation for a circle?

The Center: (4,2)

Up: (4,2+5) = (4,7)

Down: (4,2−5) = (4,−3)

Left: (4−5,2) = (−1,2)

Right: (4+5,2) = (9,2)

How to write coordinates with complete accuracy?

Write out latitude and longitude. To write out the full location, start with the line of latitude. Follow this with the coordinates using minutes and decimals. Add a comma and then the line of longitude followed by its minutes and decimals. Remember to use positive and negative numbers to indicate the direction of coordinates.