The circle shown has circumference 10π. What is its area?

Worked solution for TMUA-P1-MGEO-001 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MGEO-001 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MGEO-001 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MGEO-001?

No — calculators are banned in the TMUA. TMUA-P1-MGEO-001 is set for a no-calculator target of about 150 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MGEO-001?

TMUA-P1-MGEO-001 is Paper P1 · Geometry (specification code M-Geo), level 1. Drill more of the same topic from this page.

TMUA-P1-MGEO-001 — Paper P1 · Geometry · Level 1

P1M-GeoLevel 1~150s target

Spec: M-Geo · No calculator · ~150s

The circle shown has circumference

10\pi

. What is its area?

Options

$5\pi$
$10\pi$
$25\pi$
$50\pi$
$100\pi$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: radius-vs-diameter. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Circumference

2\pi r = 10\pi

gives

r = 5

, so the area is

\pi r^2 = 25\pi

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Keep practising

Same topic · same level

P1M-GeoLevel 1

TMUA-P1-MGEO-002

A right-angled triangle has shorter sides 6 cm and 8 cm. What is the length of the hypotenuse?

Geometry

Open TMUA-P1-MGEO-002 →

Step up a level

P1M-GeoLevel 2

TMUA-P1-MGEO-004

A cuboid measures 3 cm by 4 cm by 12 cm. What is the length of its space diagonal?

Geometry

Open TMUA-P1-MGEO-004 →

TMUA-P1-MGEO-001 — Paper P1 · Geometry · Level 1

Options

Keep practising

Master Geometry

TMUA-P1-MGEO-001 — Paper P1 · Geometry · Level 1

Options

Keep practising

Master Geometry