MYTUTOR SUBJECT ANSWERS

521 views

Which has greater area? A parallelogram with base length 10cm and perpendicular height 6cm, or a circle of diameter 8cm.

The question requires you to work out the area of the two shapes individually and then compare your answers to see which is greater.

Firstly, to calculate the area of the parallelogram you must recall the formula 'area = base x perpendicular height'. The perpendicular height is the maximum length of a line drawn at a right angle (90 degrees) from the base. This formula makes sense because you can imagine cutting off one 'overhanging' end of the parallelogram and attaching it to the other side to form a rectangle. This is why the formula is similar to the area of a rectangle (base x height).

Using this formula the area of the parallelogram = 10 x 6 = 60cm2.

For the area of a circle, you need to remember the formula ' area = pi x radius'. There are many ways of remembering this very important formula including rhymes and songs. Pi is a fixed number and can be found on a calculator so there is no need to work this out. However to get the radius of the circle, you need to remember that radius = diameter divided by 2. This is because the diameter is the distance from one side of the circle to the other opposite side, while radius is the distance from the centre to the edge.

Using this, we can work out the radius of the circle = 8 / 2 = 4. Putting this into the formula for area we get, area of circle = pi x 4= pi x 16 = 50.27cm2 (to two decimal places).

We can now see that the area of the parallelogram (60cm2) is greater than the area of the circle (50.27cm2) so the answer is the parallelogram.

Sam W. GCSE Maths tutor

10 months ago

Answered by Sam, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

655 SUBJECT SPECIALISTS

£22 /hr

Raquel L.

Degree: Physics with Theoretical Physics (Masters) - Kings, London University

Subjects offered:Maths, Spanish+ 1 more

Maths
Spanish
Physics

“I am a Physics with Theoretical Physics student at King´s College London. And if there is something that I love even more than Physics and Science is learning. I love it so much that I decided to leave my country, leaving there my fam...”

£30 /hr

Rachel H.

Degree: Physics and Astronomy with a Year Abroad (Bachelors) - Durham University

Subjects offered:Maths, Science+ 3 more

Maths
Science
Physics
German
Chemistry

“Hey, I'm Rachel and I'm Physics graduate from Durham University. My best subjects at school were always science and maths but I also loved languages and art”

£20 /hr

Isabel S.

Degree: Geography (Bachelors) - Oxford, Christ Church University

Subjects offered:Maths, Geography+ 3 more

Maths
Geography
English
Economics
.TSA. Oxford.

“I have tutored in a variety of subjects and in many different schools and settings, so am very adaptable to the needs of individual students.”

About the author

Sam W.

Currently unavailable: for regular students

Degree: Mathematics (Bachelors) - Durham University

Subjects offered:Maths

Maths

“About me Hi! I'm Sam and I'm a second year mathematics student at Durham University.  In terms of my academic background, I achieved an A* at GCSE maths, before going on to study maths and further maths at A level and obtaining a high...”

You may also like...

Other GCSE Maths questions

Solve this pair of simultaneous equations (1) 5x+2y=20 and (2) x+4y=13

Solve the equations giving your answer in 2d.p (5 Marks).: x^2 + y^2 = 36 , x = 2y + 6

What is red shift?

Why is anything to the power 0 equal 1?

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok