What is the radius of a circle whose equation is x2 + y2 – 10x + 6y + 18 = 0? how many units?
2 answers:
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<u>Answer:</u>
<u>Step-by-step explanation:</u>
Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .
So,
u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
⇒
⇒
⇒
⇒
⇒ u = 10.4
Hence, u = 10.4 and v = 12.