Waskahat wants to make a pair of earrings of different sized circles. The diameter of the first circle is 10 cm and that of the second is 6 cm. For his project, Waskahat determines that 35 beads will cover an area of 1 cm². How many beads in total will he need to make BOTH circles? Please answer with a whole number.

Respuesta :

The number of beads needed to make both pair of earrings is 3090.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The diameter of first circle is 10 cm.

The diameter of second circle is 4 cm.

And, the area covered by 35 beads is 1 cm².

Now, the area of first and second circle is given by substituting the diameters in the expression for area  πD²/4 as,

Area of the first circle = (π × 10²)/4

                                    = 25π cm².

Area of the second circle = (π × 4²)/4

                                          = 4π cm²

The total area is 25π + 4π = 29π cm².

Now, the number of beads can be determined using the unitary method as below,

Number of beads for 1 cm² area is 35.

So, the beads for 29π cm² area is 35 ×  29π = 3090.

Hence, the number of beads required for both the circles is 3090.

To know more about unitary method click on,

https://brainly.com/question/28276953

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