Pythagoras (circa 570-495BC)
Vegetarian mystical leader and number-obsessive, he owes his standing as the most famous name in maths due to a theorem about right-angled triangles, although it now a...
A Good Mathematics Educator.
A good mathematics teacher possesses strong subject matter expertise and excellent communication skills to explain complex concepts clearly, along with patience, empath...
Advantages of Teaching and Learning Mathematics.
The advantages of teaching and learning mathematics include enhanced logical reasoning, improved problem-solving and analytical skills, better cogn...
Calculating the red shaded area.
Notice.
10 cm is the radius of each of the four equal inscribed circles.
tana = 10/(4*10)
a = atan(¼)°
a = 14.0362434679°
b = 3*10
b = 30 cm.
(10/...
The Role of a Mathematics Educator in a School.
A mathematics teacher's role is multifaceted, involving designing and delivering lessons, explaining complex mathematical concepts, assessing studen...
The Great Dolphin Dilemma.
Once upon a time, in a sparkling sea so blue, lived a dolphin named Dippy, full of fun and whoo-hoo! Dippy had a crew, the Splashy Squad, with fins like flippers and hea...
Calculating Angle x.
Let 1 units be BC = CD = AD.
a² = 2-2cos80
a = 1.28557521937 units.
a is BD.
b = 80-½(180-80)
b = 80-50
b = 30°
b is angle ABD.
Therefore, the required angle x...
Calculating angle x.
Let length blue be 1 unit.
a = 180-20-10
a = 150°
(1/sin10) = (b/sin150)
b = 2.87938524157 units.
c = 180-50-20-30-10
c = 180-110
c = 70°
(2.87938524157/sin7...
Calculating Parallelogram ABCD Perimeter.
4² = x²+y²-2xycos60
16 = x²+y²-xy
16+xy = x²+y² --- (1).
6² = x²+y²-2xycos120
36 = x²+y²+xy
36-xy = x²+y² --- (2).
Equating (1) and (2).
16...
Sir Mike Ambrose is the author of the question.
Calculating Shaded Area ÷ Purple Area to 2 decimal places.
Let AB, side length of the regular octagon be 5 units.
Radius, r of the inscribed...
