Write the equation of a line through point (-5,1) and perpendicular to 2x – 3y = 6?
1 answer:
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Check the picture below.
notice, is just a circle inscribed in a square.
now for the first one, we know the diameter is 14, so the square is a 14x14, and the radius of that is half the diameter or 7.
now, if we get the area of the square, which includes the area of the circle, and THEN get the area of the circle and subtract it from the square's, what's leftover is the shaded section.
now, for the one on the right-hand-side, the radius is 8, and square's area is 16x16,
notice, is just a circle inscribed in a square.
now for the first one, we know the diameter is 14, so the square is a 14x14, and the radius of that is half the diameter or 7.
now, if we get the area of the square, which includes the area of the circle, and THEN get the area of the circle and subtract it from the square's, what's leftover is the shaded section.
now, for the one on the right-hand-side, the radius is 8, and square's area is 16x16,
Answer:
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Step-by-step explanation:
The length of the chord AB is the same as the distance OC from the center to the cord. Let OC=2x, then CA=x. By the Pythagorean theorem, the radius r of the circle is
The length of the arc ED is 4x.
Consider right triangle EFO. In this triangle, EF=2x, EO=r, then the distance OF is
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
