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Find the radius of a circle with the area 4.3 m2. Round your answer to one decimal place.

Question

Find the radius of a circle with the area 4.3 m2. Round your answer to one decimal place.

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Solution

Para encontrar el radio de un círculo con un área de 4.3 m², podemos usar la fórmula del área de un círculo:

A=πr2 A = \pi r^2

donde A A es el área y r r es el radio. Despejamos r r de la fórmula:

r2=Aπ r^2 = \frac{A}{\pi}

r=Aπ r = \sqrt{\frac{A}{\pi}}

Sustituimos el valor del área A=4.3 A = 4.3 m² y el valor de π3.1416 \pi \approx 3.1416 :

r=4.33.1416 r = \sqrt{\frac{4.3}{3.1416}}

Calculamos el valor dentro de la raíz:

r=1.369 r = \sqrt{1.369}

Finalmente, calculamos la raíz cuadrada y redondeamos a un decimal:

r1.2 r \approx 1.2

Por lo tanto, el radio del círculo es aproximadamente 1.2 metros.

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