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Strike441 [17]
3 years ago
8

Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. (4 points)

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
5 0

Answer:

The circumference of a circle is 10\pi\ inches and the area of a circle is 25\pi\ inches^{2} .

Option (c) is correct .

Step-by-step explanation:

Formula  

Area\ of\ a\ circle = \pi r^{2}

Circumference\ of\ a\ circle = 2\pi\ r

Where r is the radius of a circle .  

As given  

Diameter is 10 inches.

Radius = \frac{Diameter}{2}

Radius = \frac{10}{2}

Radius = 5 inches  

Put values in the above formulas .  

Area\ of\ a\ circle = \pi 5^{2}

Area\ of\ a\ circle = \pi\times 5\times 5

Area\ of\ a\ circle = 25\pi\ inches^{2}

Circumference\ of\ a\ circle = 2\pi\ 5

Circumference\ of\ a\ circle = 2\pi\times 5

Circumference\ of\ a\ circle = 10\pi\ inches

Therefore the circumference of a circle is 10\pi\ inches and the area of a circle is 25\pi\ inches^{2} .

Option (c) is correct .

il63 [147K]3 years ago
3 0
D=10 a=5
5×5×π=25π
a=25π
2×5×π=10π
c=10π

c. C = 10π A = 25π
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