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Four Cows Are Tethered at Four Corners of a Square Plot of Side 50m, So That’ They Just Cant Reach One Another. What Area Will Be Left Ungrazed. - Mathematics

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प्रश्न

Four cows are tethered at four corners of a square plot of side 50m, so that’ they just cant reach one another. What area will be left ungrazed.

उत्तर

Side of square plot (s) = 50m

Area grazed by four cows is area of sectors represented by 1, 2, 3 and 4.

Radius of each quadrant = 25m = r.

Area of square plot = 𝑠2 = 502 = 2500𝑚2

Area of each quadrant =`1/4 pir^2 =1/4×22/7× 25 × 25 = (625 × 3.14) ×1/4`

Area of ungrazed land = (area of square plot) – 4(area of quadran

=`2500 − 4 (1/4× 3.14 × 625)`

= 2500 – 1962.5 = 537.5 m2

 

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अध्याय 13: Areas Related to Circles - Exercise 13.4

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 13 Areas Related to Circles
Exercise 13.4 | Q 6

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