A circle has a radius of 3.88 inches. Using the correct number of significant digits, find the circumference and area of the circle. The circumference is _____ in. The area is _____ in.

Respuesta :

Answer:

The circumference of the circle is 24.37 in

The area of the circle is 47.27 in²

Step-by-step explanation:

The circumference of a circle is given by the formula

[tex]C = 2\pi r\\[/tex]

Where [tex]C[/tex] is the circumference of the circle

[tex]\pi[/tex] is a constant (Take [tex]\pi[/tex] = 3.14)

and [tex]r[/tex] is the radius of the circle

From the question,

radius, [tex]r[/tex] = 3.88 in

Hence, the circumference, [tex]C[/tex] becomes

[tex]C = 2\pi r\\[/tex]

[tex]C = 2(3.14)(3.88)\\[/tex]

[tex]C = 24.37[/tex] in

Hence, the circumference of the circle is 24.37 in

For the area of the circle,

Area of a circle is given by

[tex]A = \pi r^{2}[/tex]

Where [tex]A[/tex] is the area of the circle

Since, radius, [tex]r[/tex] = 3.88 in

The area of the circle then becomes

[tex]A = \pi r^{2}[/tex]

[tex]A = (3.14) (3.88)^{2}[/tex]

[tex]A = 47. 27[/tex] in²

Hence, the area of the circle is 47.27 in²

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