Find the area of the shaded region. The radius of the large circle is 10 m. Round answer to the nearest hundredth.

Mathematics

1 answer:

vivado [14]3 years ago

8 0

Answer:

hello the figure related to your question is missing attached below is the missing figure

answer : 157.08 m^2

Step-by-step explanation:

Calculate the area of the shaded area

= Area of the large circle - Areas of the small circles

= (( $\frac{\pi }{4}$ ) * D^2) - 2( ( $\frac{\pi }{4}$ ) * d^2 ) given that the small circles are congruent

= (( $\frac{\pi }{4}$ ) * 20^2 ) - 2 ( ( $\frac{\pi }{4}$ ) * 10^2 )

= 314.16 - 157.08

= 157.08 m^2

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