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globalremix
07.04.2021 •
Mathematics
The points (-9,f) and (-10,5) has a slope of 3. What is the value of f?
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Ответ:
(5-f)/(-10-(-9)) = 3
(5-f)/(-1) = 3
5 - f = -3
-f = -8, f = 8
Solution: f = 8
Ответ:
Diameter of a circle = 21 cm.
Area of other circle = 4 * area of the circle
Find:circumference of a circle
Solution:Diameter of a circle = 21 cm.
→ Radius of the circle = 21/2 cm
And,
Area of other circle = 4 * area of the circle.
We know that,
Area of a circle with radius r is :
→ πr²
Let the radius of the given circle be r₁ and radius of the other circle be r₂
Hence,
→ π * (r₂)² = 4 * π * (r₁)²
Putting the value of r₁ and cancelling π from both sides we get,
→ (r₂)² = 4 * (21/2)²
→ (r₂)² = 4 * (21)²/4
→ (r₂)² = (21)² cm
→ r₂ = 21 cm
[If powers are equal, then the bases are also equal ]
Now,
Circumference of a circle = 2πr
→ Circumference of the other circle = 2 * π * r₂
→ Circumference of the other circle = 2 * 22/7 * 21
→ Circumference of the other circle = 132 cm
Hence, the circumference of the other circle is 132 cm.
I hope it will help you.
Regards.