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3 years ago

The area of a circle is 50.24 square miles. What is the circle's diameter? Use 3.14 for Pi.

Mathematics

1 answer:

ratelena [41]3 years ago

7 0

Answer:

diameter = 8 miles

Step-by-step explanation:

Area of a circle = πr²

πr² = 50.24

3.14*r² = 50.24

r²= $\frac{50.24}{3.14}\\\\$

r² = 16

r² = 4²

r=√4²

r = 4 miles

diameter = 2 *radius = 2*4 = 8 miles

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A) Multiplication is done wrong. The + sign with 16 underlined in the term -16m+16=-16 is wrong. it should be -16.

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A) Explain his mistake in complete sentences.

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When we multiply -2 with the terms inside the bracket, we apply the rule that if we have one positive sign (+) and one negative sign (-) while multiplying the result would have negative sign(-) i.e,

$-16m-16=-16$

While Samuel has calculated as $-16m+16=-16$

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B) Explain how to solve the equation correctly

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$-2(8m+8)=-16\\Multiplying\,\,-2\,\,with\,\,terms\,\,inside\,\,the\,\,bracket.\\-16m-16=-16\\Adding\,\,+16\,\, on\,\, both\,\, sides\\-16m-16+16=-16+16\\-16m=0\\Divide\,\,both\,\,sides\,\,by\,\,-16\\m=0$

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Keywords: Solving Algebraic expressions

Learn more about Solving Algebraic expressions at:

#learnwithBrainly

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