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Explanation:
☆ In the figure above, arc SBT is one quarter of a circle with center R and radius 6. If the length plus the width of rectangle ABCR is 8, then the perimeter of the shaded region is —
ANSWER :–
LET AR = a and RC = b
We know that –
perimeter of quarter circle = ( 2πr ) / 4 = 3π
AND –
AS = 6 - a , CT = 6 - b , AC = RB = 6 ( radius )
➨ perimeter of the shaded region = AS+AC+CT+C(SBT)
➨ Perimeter = ( 6 - a ) + 6 + ( 6 - b ) + 3π
➨ Perimeter = 18 - ( a + b ) + 3π
● length + width = 8 ( given )
➨ Perimeter = 18 - 8 + 3π
Answer:
➨ Perimeter = 10 + 3π
~Kandy~
Hope this helps!
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