Step 4: Find the radiusThe radius r of the circle can be calculated using the formula:r=√g2+f2−cSubstituting the values:g2=(−43)2=169f2=(−53)2=259c=1=99Now substituting these into the radius formula:r=√169+259−99=√329=4√23 Final AnswerThe center of the circle is...
The given equation of the circle is- (Eq.1) x2 y 2 9 We know that equation of a circle in the standard form is given as- $$(x-h)^... Learn more about this topic: Equation of a Circle | Formula, Forms & Examples from
Write the equation of the circle with radius 7 and centre (−1,−9). The Equation of a Circle: The equation of a circle is an equation that defines a circle drawn on the coordinate plane. It assumes the form of (x−a)2+(y−b)2=r2, where r is the radius of ...
The center of a circle isthe point equidistant from the points on the edge. Similarly the center of a sphere is the point equidistant from the points on the surface, and the center of a line segment is the midpoint of the two ends. What formula is 2 pi r? The area of a circle is...
The center of the circle is given as C(3,−4). Step 2: Find the distance from the center to the lineTo find the radius of the circle, we need to calculate the perpendicular distance from the center of the circle to the line. The formula for the distance d from a point (x1,y1...
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To transform this equation into the general equation of a circle we divide both sides by 2, ... Learn more about this topic: Equation of a Circle | Formula, Forms & Examples from Chapter 30/ Lesson 9 39K This lesson focuses on defining a circle, presenting i...
(b)Substitute y =5x-10 into their equation.OE 3-term quadratic with all terms on one side.FT on their circle equation.Solve 3-term quadratic in x by factorising, using formula orcompleting the square.Factors must expand to give theircoefficient of{x}^{2} Coordinatcs must be clearly ...
6O a rad rcm QT PThe diagram shows a circle with radius rcm and centre O. The line PT is the tangent to the circle at P and angle POT = α radians. The line OT meets the circle at Q.(i)Express the perimeter of the shaded region PQT in terms of r and a.[3](ii) In the ...
A circle of diameter 13 cm has a chord length of 12 cm. Calculate the shortest distance from the centre of the circle to the chord.Answer and Explanation: The formula for solving a chord length in this example ist = the square roo...