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Art [367]
2 years ago
6

Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A

is 100cm2 find r when P is 50cm find the value of r that makes A = p numerically

Mathematics
1 answer:
Ghella [55]2 years ago
6 0

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

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Dahasolnce [82]

Answer:

The total length of route travelled in 3 days = 30 km

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Step-by-step explanation:

English Translation of the Question

A tourist traveled a route in three days. On the first day the tourist covered 40% of the length of the route, on the second day the tourist covered 5/6 of the remaining distance after the first day, and on the third day the remaining 3 km. Calculate the length of the route traveled in the three days.

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The remaining journey after day 1 = x - 0.4x = 0.6x

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iar în a treia zi restul de 3 km

The total remaining length of the route = x - 0.4x - 0.5x = 0.1x

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x = (3/0.1) = 30 km

The Hope this Helps!!!

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