Geometry Flashcards
6 cards from real AMC12 practice questions. Tap to flip, then mark Knew It or Still Learning โ missed cards come back until you master them.
Read the first 6 Geometry flashcards as text
A circle has area 16pi. What is its circumference?
Answer: 8pi
From pi*r^2=16pi we get r=4, so C=2pi(4)=8pi.
In right triangle ABC with right angle at B, AB=5 and BC=12. What is sin(A)?
Answer: 12/13
The hypotenuse AC=13, and sin(A)=BC/AC=12/13.
The diagonals of a rhombus are 6 and 8. What is its side length?
Answer: 5
The half-diagonals are 3 and 4; side=sqrt(9+16)=5.
A rectangle has perimeter 34 and area 60. What is the length of its diagonal?
Answer: 13
l+w=17 and lw=60 gives l=12,w=5; diagonal=sqrt(144+25)=13.
What is the area of an equilateral triangle with side length 4?
Answer: 4sqrt(3)
Area=(sqrt(3)/4)*s^2=(sqrt(3)/4)*16=4sqrt(3).
Two circles of radius 3 and 5 are externally tangent. What is the distance between their centers?
Answer: 8
For externally tangent circles, center-to-center distance=r1+r2=3+5=8.