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9 votes
9 votes
Acorrding to its packaging, the circular base of desk lamp has a circumference of 18.84 inchesm What is the lamp bases diameter?

use 3.14 for pi.
PLEASE HELPP

User PankajSays
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1 Answer

15 votes
15 votes
Solving for the Diameter (“D”) of a Circle:
——————————————————————

To solve for the diameter of a circle, we start off with the circumference formula because it contains the information we need to Algebraically solve for the Diameter.

Circumference Formula:
C = π • 2(r) or C = π • D, since the Diameter of a circle is 2 times the radius.

We will use the C = π • D formula because it contains the term for Diameter with pi, so we have the proper information to solve for D.

Algebraic Proof:

C = (3.14) • D [Circumference Formula with 3.14 approximate to pi]

(18.85) = (3.14) • D [Given information]

(18.85) / 3.14 = (3.14) • D / 3.14 [Division Property of Equality]

6.003 = D [Division]

D = 6.003 [Symmetric Property of Equality]

Therefore, the Diameter = 6.003 in
User Dnlmzw
by
2.5k points
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