the total surface area of the banner is
Answers
Question 1: The formula to calculate the perimeter of the banner is :-
(a) 2 (l + b)
(b) 2πrh + 2πr2
(c) πr + (2l + b)
(d) 2 (l + b) + πr2
Answer :-
→ perimeter of semi - circle + perimeter of 3 sides of rectangle
→ (2πr/2) + (2l + b)
→ πr + (2l + b) (c) (Ans.)
Question 2) :- The total surface area of the banner is
(a) 55860 cm2
(b) 70952 cm2
(c) 55880 cm2
(d) 70558 cm2
Answer :-
→ TSA = Rectangle area + (1/2)πr²
→ TSA = (208 * 96) + (1/2) * (22/7) * (98)²
→ TSA = 40768 + 22 * 49 * 14
→ TSA = 40768 + 15092
→ TSA = 55860 cm² (a) (Ans.)
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Given : Banner
Rectangle 208 * 196
circle above 196 side
To Find : total surface area of the banner
Solution:
total surface area
= Rectangle area + half circle area
= length * breadth + (1/2)πr²
r = 196/2 = 98
= (208 * 196) + (1/2) * (22/7) * (98)²
= 40768 + 15092
= 55860 cm²
total surface area of the banner is 55860 cm²
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