He radius of a circle is 2 kilometers. What is the area of a sector bounded by a 45° arc?

1 answer:

7 0

We know that
area of a circle=pi*r²
for r=2 km
area of a circle=pi*2²-----> 12.56 km²

if 360° (full circle) has an area of---------> 12.56 km²
45°---------------------------------> x
x=45*12.56/360-----> x=1.57 km²

the answer is
1.57 km²

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