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Serga [27]
2 years ago
8

Ruby is visiting a wildlife center to gather information for her term paper. The center has a circular pond with a diameter of 2

0 meters. What is the approximate area of the pond?
A. 1,256 square meters

B. 628 square meters

C. 314 square meters

D. 62.8 square meters
Mathematics
2 answers:
kupik [55]2 years ago
8 0

Answer: The approximate area of the given circular pond is 314 square meter.

Step-by-step explanation:

Since, the diameter of the circular pond = 20 meter,

⇒ Radius of the pond = 20/2 = 10 meter.

Thus, the area of the pond,

A=\pi\times (10)^2

=\frac{22}{7} \times 100

=\frac{2200}{7}=314.285714286\approx 314\text{ square meter}

Hence, The approximate area of the given circular pond is 314 square meter.

kicyunya [14]2 years ago
5 0
C, since the radius is 10 multiply by 2 and 100 x 3.14 is 314

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or  (18.124,0) and ( -6.124,0) are the required points.

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(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0

Using quadratic formula : x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}

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since \sqrt{3}=1.732

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