Answer:
r = 10 cm
Step-by-step explanation:
r² = 8² + 6²
r² = 64 + 36 = 100
r = 10 cm
Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b<span>²</span>
a²+24²=33.94113<span>²
a</span><span>²+576=1,152.00031
a</span><span>²=576.000306
a=24 (If you need the exact number, not rounded, it is 24.0000064)</span>
All of these choices would result in a 29-ft perimeter for the quilt.
But choice-b is significantly closer to the golden ratio than the others are.
Golden Ratio = (1/2) (1 + √5) = 1.618... (rounded)
Choice a). 1.665
Choice b). 1.617 the answer is "B"
Choice c). 1.526
Choice d). 1.5709
See the attached picture for explanation and steps: