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3 years ago

Work out the perimeter of this semicircle. take pi to be 3.142

Mathematics

2 answers:

Vanyuwa [196]3 years ago

8 0

Answer:

P = 25.71 cm

Step-by-step explanation:

Perimeter of semicircle = πD/2

Where D=10 cm

P = (3.142)(10)/2

P = (3.142)(5)

P = 15.71 cm

Complete Perimeter of Semicircle = P + Diameter

= 15.71 + 10

= 25.71 cm

Ber [7]3 years ago

8 0

Answer:

25.71cm

Step-by-step explanation:

3.142 x 10 = 31.42

31.42/2 = 15.71 (half of the circumference)

15.71 + 10(the diameter).

= 25.71cm

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Work out the area of the trapezium ABDE. B 9 cm 6 cm 8 cm →D E

Evgen [1.6K]

Answer:

Area of the trapezium ABDE = 30 cm²

Step-by-step explanation:

Area of a trapezium = $\frac{1}{2}(b_1+b_2)h$

Here, $b_1$ and $b_2$ are the parallel sides of the trapezium

h = Distance between the parallel sides

From the picture attached,

ΔCAE and ΔCBD are the similar triangles.

So by the property of similarity their sides will be proportional.

$\frac{AE}{BD}= \frac{CE}{CD}$

$\frac{9}{6}=\frac{CE}{8}$

CE = $\frac{9\times 8}{6}$

CE = 12 cm

Therefore, DE = CE - CD

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= $\frac{1}{2}(6+9)4$

= 30 cm²

Therefore, area of the trapezium ABDE = 30 cm²

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Step-by-step explanation:

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Work out the perimeter of this semicircle. take pi to be 3.142​

Work out the perimeter of this semicircle. take pi to be 3.142