A school has decided to Give scholar's Batches to scholar students and they were designed As PQRS is the Diameter of the circle of radius 10.5cm and length PQ, PR, RS, are Equal. find the perimeter of the shaded portion and the area of non-shaded Portion. what is the importance of a Scholar's batches for students?
Answers
the perimeter of the shaded portion and the area of non-shaded Portion = 66 cm
Step-by-step explanation:
PQRS is the Diameter of the circle of radius 10.5cm
=> PS = 2 * 10.5 = 21 cm
PQ, QR, RS, are Equal.
PQ + QR + RS = 21
=> PQ = QR = RS = 7 cm
Area of Complete Circle = π (21/2)²
= (22/7) * 21 * 21/4
= 346.5 cm²
Area of Semi circle = 346.5/2 = 173.25 cm²
Area of shaded portion = Area of Semi circle - area of Semi circle (7 cm radius) + Area of Semi circle (radius 3.5 cm)
173.25 cm² - (1/2)(22/7)7² + (1/2)(22/7)(7/2)²
= 173.25 - 77 + 19.25
= 115.5 cm²
area of non-shaded Portion = 346.5 - 115.5
= 231 cm²
Perimeter of Shaded portion = top Semi circle + top Semi Small circle + +Bottom Semi small circle
= (1/2) * 2 π ( 10.5 + 7 + 3.5)
= (22/7)(21)
= 66 cm
Perimeter of non Shaded portion = bottom Semi circle + top Semi Small circle + +Bottom Semi small circle
= (1/2) * 2 π ( 10.5 + 7 + 3.5)
= 66 cm
importance of a Scholar's batches for students is the encourgament & appreciation of students
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