Are the pink arcs congruent?
2 answers:
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They forget to say "not to scale". I'm guessing this is trig because I don't see another way to do it.
Let's consider x=chord PQ first. By the Law of Cosines
We have an isosceles triangle formed by two radii of 9 cm and x=PQ. By the Law of Cosines again,
The area of the circle is the fraction given by the angle,
Answer: 24.7 sq cm
Add 31 to both sides.
<span><span><span><span>3x</span>−31</span>+31</span>=<span>76+31
</span></span><span><span>3x</span>=107
</span>
Divide both sides by 3.
<span><span><span><span><span><span>3x/</span>3</span></span></span></span>=<span><span><span>107/3
</span></span></span></span><span>x=<span></span></span>
<span><span><span><span>3x</span>−31</span>+31</span>=<span>76+31
</span></span><span><span>3x</span>=107
</span>
Divide both sides by 3.
<span><span><span><span><span><span>3x/</span>3</span></span></span></span>=<span><span><span>107/3
</span></span></span></span><span>x=<span></span></span>