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The formula for the diameter (d) of a circle in terms of its radius (r) is d = 2r.
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14 stepsHere are the solutions to the questions:
1. Find the diameter of a circle whose radius is 3.4m.
The formula for the diameter () of a circle in terms of its radius () is .
Substitute the given radius m into the formula.
Calculate the diameter.
The correct option is B.
The final answer is .2. In the balance below, the mass of one shape is given in kilogram. Find if .
From the balance, two circles balance three squares.
Let be the mass of one circle and be the mass of one square.
Substitute the given mass of one circle, kg.
Solve for .
The correct option is C.
The final answer is .3. In the figure below MK and RS are straight lines. Find the value of angle marked n.
The angles and the angle adjacent to it on the straight line MK (or RS) are supplementary, meaning they add up to .
Let the angle adjacent to be .
Solve for .
Angle and angle are vertically opposite angles.
Vertically opposite angles are equal.
The correct option is B.
The final answer is .4. A line that divides a circle into two segments is called...
A chord is a line segment whose endpoints lie on the circle, dividing the circle into two segments. A diameter is a special type of chord that passes through the center.
The correct option is B.
The final answer is .5. Which of the following construction of angles represents 45°?
A angle is half of a angle. To construct a angle, one typically constructs a angle first and then bisects it. Option A shows the construction of a angle being bisected, which results in a angle.
The correct option is A.
The final answer is .6. Simplify: .
Calculate the powers.
Substitute the calculated values back into the expression.
Perform the multiplication.
The correct option is B.
The final answer is .7. Solve for n: .
Subtract from both sides of the equation to gather terms with on one side.
Add 7 to both sides of the equation to isolate .
The correct option is A.
The final answer is .
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