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A _______ represents data through pictures of objects.

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A pictograph represents data through pictures of objects.

"hello students welcome to lido q a video session i am sav your math tutor and question for today is the length of two parallel chords of a circle are six centimeter and eight centimeter if the smaller chord is at the distance four centimeter from the center what is the distance of the other chord from the center so consider the following diagram given below in this diagram you can see that a b and c are the two parallel chords now you have to join ob and od ob and od we have joined already in the figure hence i'll write down here now you can see that the distance of the smaller chord a b from the center of the circle is given that is 4 centimeter so we will write them write down om is equal to 4 centimeter now you can see for md mb will be equal to kb upon 2 as you know that a perpendicular drop from the center to the pawn bisects the chord hence we can say that mb will be equal to a b chord upon two so that comes out to be 3 centimeter because a b is 6 centimeter so 6 upon 2 that is 3 centimeter that is your measurement of mb now consider triangle omb in triangle omb you can see we can apply pythagoras theorem over here in triangle omb that is ob square will be equal to om square plus mb square and this will be ob that is ob will be equal to om square plus mb square om is 4 square and mb is 3 mb square is 3 square and hence ob will be equal to 25 that is ob square that is will be equal to 25 and hence ob you can find over here like 5 5 centimeter now consider triangle o and d in triangle o and d o b is equal to o d is equal to phi since they are the radii of the circle now andy you can say that andy is also half of cd the same condition applies over here as we have seen earlier that the perpendicular drop from the center to the chord bisects the power hence we can say that nd is equal to cd upon 2 and that is cd is given that is 8 8 upon 2 that is 4 centimeter now again in triangle o and d you can see od square is equal to o n square plus nd square from this we will find o n you can find o n square by subtracting n d square from od square that is ode so here we have found od to be phi so phi square minus nd that is 4 square and hence o n square will be equal to i square minus 4 square and that is 9 and hence o n will be equal to 3. 3 centimeter so that is our measurement of the o n that is the distance of the other chord from the center so we have found o n and ob together that is distance from both the chord from the center and that is our required answer if you have any query you can post it in our comment section and subscribe to lido for more such q a thank you for watching "

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