A catalog of scientific equipment states that the lens of a particular telescope has a circumference of 6.28 yards. What is the lens's area? Use 3.14 for .

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absor201 absor201 · Answer 1 · 2020-01-18T05:22:57+01:00

The area of lens is 3.14 square yards.

Step-by-step explanation:

Given,

Circumference of lens = 6.28 yards

Circumference = 2πr

[tex]6.28=2*3.14*r\\6.28=6.28r\\6.28r=6.28[/tex]

Dividing both sides by 6.28

[tex]\frac{6.28r}{6.28}=\frac{6.28}{6.28}\\r=1[/tex]

Area of lens = πr²

Area of lens = [tex]3.14*(1)^2=3.14*1[/tex]

Area of lens = 3.14 square yards

The area of lens is 3.14 square yards.

Keywords: area, circumference

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