This figure is 1/4 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.

3.1 inches

6.3 inches

7.1 inches

12.3 inches

3.1in

Step-by-step explanation:

Radius: r=2in

Perimeter of circle: p=2×pi×r=4×pi

Perimeter of figure: p1=p/4=pi=3.14in

Best approximation: 3.1in

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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