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
Answer:
<u>radius: 8.4</u> <u>Area: 221.5</u>
Step-by-step explanation:
16.8 <em>divided </em>by 2 = 8.4
The Formula for finding the area of circle= R₂ (radius squared: radius times itself) Multiplied by pi. pi = 3.14
8.4₂ multiplied by 3.14
The correct answer is D.
This is because a converse statement switches the places of the hypothesis and conclusion.
We are given that <span>Ellie had 44 books in her bookcase. She counted 32 fiction books, thus she has nonfiction book of about,
Nonfiction= 44-32= 12
Thus, Ellie has 32 fiction books and 12 nonfiction books. But we are tasked to find the ratio of the of fiction books to nonfictions books. This gives us,
32:12
Reducing 32:12 into simpler ratio by factoring 4 on both sides,
32:12=8*4:3*4=8:3
Therefore, Ellies Bookcase has a fiction to nonfiction ratio of 8:3 which is letter A.</span>