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Thank you We sneak and here's your smoke du jour

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brought to you by minor arcs like the one built

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by know his next door neighbor and joyce and only

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fit about a dozen animals and well they were all

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cats You're welcome new world Oh and check out this

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diagram of a nup side down and twisted icecream cone

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circle Why shown in the diagram above has a diameter

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of ten centimetres If m equals forty five degrees and

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the length of the minor arc x z is ten

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thirds pi centimeters What is the area of the shaded

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sector in square centimeters and hear the potential answers a

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lot of friends So we have a nagging feeling We're

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going to have to use our brains on this one

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Hope we remember to bring the charger right Let's recap

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what we know Looking at the diagram we're told that

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the diameter of this circle is ten centimeters which makes

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the radius this thing right here Half that or five

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centimeters were also told that the measure of the angle

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is forty five degrees Him right there And the minor

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arc length of x is ten thirds pi centimeters We're

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looking for the area of this grayish section over here

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So what do we do next Is it time to

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use a lifeline waken do this because circles are our

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jam We already know that circumference equals diameter times pi

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making the circumference of this circle ten pie since the

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arc x z is ten thirds pi or one third

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of the total length the angle x y z must

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be a third of the total angle measurement as well

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which is always three hundred sixty degrees when dealing with

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the circle one third of three sixty is one twenty

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What this also means is that the area of the

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unshaded part of the circle is gonna be exactly one

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third of the area of the total circle While we

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need to do now is find out the area of

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the whole circle and then take two thirds of it

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to find the area of the shaded portion Unfortunately we've

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had the formula for the area of a circle grafted

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onto the inside of our islands But we know it's

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gonna be pi times are square where are is the

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radius The area will be pi times five squared and

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five squared is twenty five So the area's twenty five

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pie piece of cake Finally you have to take two

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thirds of the total area to get shaded portion twenty

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five five times two thirds is fifty over three times

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pi which is answer c thank very much Xy may

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just be a minor arc but we have a feeling

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it's gonna make it in the big leagues one day 00:02:13.823 --> [endTime] Maybe it will get to play for the rays

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