WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW ALL WORK NECESSARY. THANKS..... The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm. What is the area of the whole target – the area inside the yellow circle?

WILL MARK BRAINLIEST FOR THE BEST ANSWER PLEASE SHOW ALL WORK NECESSARY THANKS The centre circle has a diameter of 3 cm and the difference in the radii of each class=

Respuesta :

9514 1404 393

Answer:

  about 572.6 square centimeters

Step-by-step explanation:

There are 3 circles outside the center one, so the total radius is 3·4 cm = 12 cm more than the radius of the inner circle.

The inner circle has a diameter of 3 cm, so its radius is 1.5 cm. That means the radius of the entire target is 1.5+12 = 13.5 cm.

The area of a circle is given by the formula

  A = πr^2

For a radius of 13.5 cm, the area is ...

  A = π(13.5 cm)^2 = 182.25π cm^2 ≈ 572.6 cm^2

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The attachment shows the target drawn to scale.

Ver imagen sqdancefan
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