please see attachment for qustions:
2. The circle has the equation
According to 1) the coordinates of the center must be equal C(-r , -r):
3. Plug in the coordinates of P, Q, C and the coordinmates of the given point:
Solve for r.
4. You'll get 2 circles which satisfy the given conditions.
I've had a lot of trouble to read your attachment. The second question was unreadable for me. Sorry.and wat about my second question???is it too easy???
2)Find the area of an equilateral triangle inscribed in the circle
Assuming the points to be the area of the triangle is:
and there is a similar form of the equation of a circle but i donot know how to combine them for a solution.
2. The side of an equilateral triangle which is inscribed in a circle has the length
The area of such a triangle is
3. Plug in the term for rē from 1. and you're done.
1. See attachment. The small right triangle (coloured in blue) is a 30°-60°-right triangle.
2. Therefore the blue line segment must have the length
3. The 2nd leg of the right angle has the length:
4. This 2nd leg is as long as a half side of the equilateral triangle: