"Write an equation to solve the following problems..." was answered by our community

texelaare

Answered question

2021-08-16

Write an equation to solve the following problems involving circles.
a) The circumference of Fabians

Answer & Explanation

nitruraviX

Skilled2021-08-17Added 101 answers

(a) Circumference

(C) = 125.6

mm
Diameter

(d) = ?

Circumference of circle

C = 2 π r

125.6 = 2 \times 3.1428 \times r {π = 3.1428}

125.6 = 6.2856 r

r = \frac{125.6}{6.2856}

r = 19.982 m m

Now, Diameter

= 2 r

d = 2 \times 19.982

d = 39.964 m m

(b)

C = 102.6

feet

d = ?

C = 2 π r

102.6 = 2 \times 3.1428 \times r

102.6 = 6.2856 r

r = \frac{102.6}{6.2856}

r = 16.323

feet
Now,

d = 2 r

d = 2 \times 16.323

d = 32.646

feet
Diameter

= 32.646

feet
(c)

C = 21.98 y d

Area

(A) = ?

C = 2 π r

21.98 = 2 \times 3.1428 \times r

21.98 = 6.2856 r

r = \frac{21.98}{6.2856}

r = 34.54 y d

Now, Area

= π r^{2}

A = 3.1428 \times 34.54 \times 34.54

A = 3749.39 y d^{2}

so, Area of ground covered by the carousel

= 3749.39 y d^{2}

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