Find the area and perimeter of the figure in which PQRS is a square of side 28 cm and STR is a semicircle.
Answers
Answer:
answer is 112 (perimeter)
answer is 784
Step-by-step explanation:
perimeter of square = 4× side
4×28= 112
area of circle = side × side
28×28 = 784
hope it helps you
Step-by-step explanation:
the area = area of the square PQR+ Area of the semicircle STR
= a22 + 1212 πr22
= 2822 cm22 + 1212 × π × (1212 × 28)22 cm22
= (2822 + 1212 × 227227 × 1422) cm22
= (2822 + 1212 × 227227 × 14 × 14) cm22
= (2822 + 11 × 2 × 14) cm22
= (2822 + 11 × 28) cm22
= 28(28 + 11) cm22
= 28 × 39 cm22
= 1092 cm22
The required perimeter = PQ + PS + QR + semicircular arc STR
= 28 cm + 28 cm + 28 cm + π × (1212 SR)
= 84 cm + 227227 × 1212 × 28 cm
= 84 cm + 11 × 4 cm
= 84 cm + 44 cm
= 128 cm
answer
therefore,
area= 1092cm
perimeter= 128cm