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Lilit [14]
3 years ago
12

PLEASE HELP ILL GIVE U LOADS OF POINTS!!! PLEASE

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

Radius of P = 5 cm

Step-by-step explanation:

Radius (r) of Q = 20 cm

Area of Q = 4 × Area of P

This means that:

Area of the quarter circle (Q) = 4 × Area of the circle (P)

Thus:

¼(πr²) = 4 × πr²

Plug in the values into the equation

¼(π*20²) = 4 × πr²

Find the value of r, which is the radius of P

¼(400π) = 4πr²

Multiply both sides by 4

400π = 4πr²*4

400π = 16πr²

Divide both sides by 16π

400π/16π = r²

25 = r²

Take the square root of both sides

√25 = √r²

5 = r

r = 5

Therefore, the radius of P = 5 cm

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