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Popular Word Problems >

Charlotte works at a lab with a huge circular particle accelerator. It has been carefully engineered to have a circumference of 12.56 miles. What is the accelerator's diameter?

Solution

C ha r l o tt e w or k s a t a l ab w i t h a h ug e c i rc u l a r p a r t i c l e a cce l er a t or . I t ha s b ee n c a re f u ll y e n g in eere d t o ha v e a c i rc u m f ere n ce o f 12.56 mi l es . Wha t i s t h e a cce l er a t o r^{'} s d iam e t er ?

Solution

d iam e t er : \frac{12.56}{π} mi l e

+1

Decimal

3.99797 \dots

Solution steps

Given:

c i rc u m f ere n ce : 12.56 mi l e

Circle Diameter given

C i rc u m f ere n ce = 12.56 : d = \frac{12.56}{π}

d iam e t er : \frac{12.56}{π} mi l e

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