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hoa [83]
3 years ago
7

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

ormed by the watering pattern is 1,256.00 square feet?​
Mathematics
1 answer:
velikii [3]3 years ago
4 0

Answer:

here, Area of s circle is given by;

A=πr²

but, A=1256.00 sq feet and π=22/7

thus, r=√(A/π)

⇒r=√(1256.00/3.142857143)

thus, r=399.64feet

Step-by-step explanation:

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ΔRSP ≅ ΔQSP by SAS. Therefore, PR ≅ PQ by CPCTC theorem.

<h3>What is the CPCTC Theorem?</h3>

If two triangles are congruent, the CPCTC theorem states that all corresponding parts of the two triangles would also be congruent to each other.

Since S is the midpoint of QR, therefore, RS ≅ QS (one pair of congruent sides)

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Therefore, ΔRSP ≅ ΔQSP by SAS.

Conclusively, PR ≅ PQ by CPCTC theorem.

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