can somebody please explain this to me. it’s timed
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Answer:
258 cm PLZ GIVE ME BRAINLIEST
Step-by-step explanation:
Since the chord is given as 80cm, we know from the definition of a chord that it is equidistant to both sides of the circle. Therefore, half the chord is 40. The extension of the center to the chord is perpendicular to the chord(definition of a chord). Therefore, if we connect the center of the circle to the edge of the chord, it's a right triangle. Also the center of the chord is the radius of the circle. Pytharogean theorem: 40^2 + 9^2=r^2 : 1681=r^2: r=41. The radius is 41. Curcumference of circle: pi*2*r : pi*2*41 : pi*82= 258 cm.