MHB How Do Circles and Parallel Lines Interact in Geometry?

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The discussion focuses on solving a geometry problem involving circles and parallel lines. A user expresses confusion about calculating areas related to shaded and unshaded regions. Another participant clarifies that the problem can be simplified by canceling out corresponding areas, leading to a straightforward solution of 32 cm² for the difference between the two areas. The interaction highlights the collaborative nature of the forum in helping users understand geometric concepts. Overall, the exchange emphasizes the importance of breaking down complex problems into manageable parts.
wailingkoh
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Hi all,

Please help. I am stuck with the question below and I have no clue how to solve:

View attachment 4573

Thanks for the help.
 

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Hi
Thanks for the reply. Do I solve it by fraction. Sorry, I am very lost with this question
 
8 multiply by 4 for 32 units square but I still won't get the full shaded and unshaded
 
You don't need them. "Cancelling" the dotted areas with their corresponding shaded areas leaves a dotted rectangle which is 32 cm. squared. That's the difference between the two areas.
 
Awesome!
I was so silly.

Thanks for the help.

This forum is great
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
View full post »

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